So I've gotten really into AKOTSK, and I've been having a lot of thoughts about Lyonel's Rebellion and his relationship to his daughter and his own identity and sense of self and wanted to yap about it for a bit.
As far as we're aware in the books and show, Lyonel only has one child, his unnamed daughter. Ormund Baratheon, who succeeds him, is only stated to be his "heir", which could really mean anything. Lyonel's daughter is betrothed to Prince Duncan (the small), but Duncan breaks it when he married Jenny of Oldstone. An event which reportedly causes Lyonel's daughter "much grief". This whole incident aggravates Lyonel so much that he crowns himself Storm King and does a "short but bloody" rebellion which is put down when Lyonel is defeated in trial by combat with Ser Duncan the Tall, the Lord Commander of the Kingsguard. As part of the peace deal, Egg betroths his youngest daughter Princess Rhaelle to Ormund and sends her off to Storm's End to be a cupbearer for Lyonel's wife. Lyonel fucks back off to Storm's End and presumably dies a few years later, after which Ormund inherits and marries Rhaelle.
And that's really all we know about this event. So everything im saying following this is a mix of extrapolation and theorizing.
Its become a popular narrative in fandom that Lyonel, because of his rebellion, is a "Girl Dad." Discarding the fact that "Girl Dad" is an ultimately meaningless pop culture/internet term rather than an actual evaluation of father-daughter relationships, I have very mixed thoughts about using this label for Lyonel. While its not hard to imagine (show) Lyonel did actually love his daughter, and was quite pissed at at her being snubbed, the idea that the primary motivation for Lyonel's rebellion was his love for his daughter is silly. Lyonel's daughter got absolutely nothing out of the rebellion, the damage to her was already done by that point, and the "restitution" (marrying Rhaelle to Ormund) had literally nothing to do with her. We have no insight into her thoughts about the rebellion, but somehow I doubt she'd be very happy about her father running off to go potentially die in a war he WILL NOT WIN and does NOTHING for her. And if Lyonel DID die during or after his rebellion, his daughter would be put into an objectively WORSE situation than before! It would effectively put her in the same situation as Argella Durrandon, and Lyonel in the position of Argilac the Arrogant. He's sacrificing his daughter's safety and future for what is essentially a tantrum to prove he's still relevant, both politically and as a warrior far past his prime (the Argilac-Lyonel parralels are really quite strong.)
But yeah, Lyonel's decision to rebel was really really selfish. It benefited truly no one but himself. Not his daughter or wife, not the stormlands or all the people he got killed. Maybe it benefited Ormund by marrying Rhaelle? I guess??? Robert like 50 years in the future when he claims the Iron Throne??? The lauded reputation of Lord Commander of the Kingsguard Ser Duncan the Tall??? (Though I doubt Dunk himself would've been happy about the whole thing.) Funny how the only people who maybe got something out of this whole mess were lordly men. A real "Girl Dad" move right there.
Lyonel gets a lot out of it, though. He gets to be Storm King. He cements his name and legacy, remembered and celebrated and called upon long after him (exemplified when his descendant, Robert, "the Laughing Storm Reborn", ends the Targaryens' rule and becomes King of the Seven Kingdoms.) His rebellion makes him a hero and legend in the eyes of Stormlanders, while his daughter, who he supposedly rebelled for, is FORGOTTEN!!! We don't even get to know HER NAME!!!
The thing of names is really important here, I think. When Lyonel rebels, does he make this decision as Lyonel, or as The Laughing Storm? Because Lyonel the person is an old man, a fool and a drunkard (I say this with the utmost affection for him, but its true). But the Laughing Storm? The Laughing Storm is not a man. He's a knight and a Storm Lord and the blood of Durran and a madman and a living legend. The Laughing Storm could never tolerate this disrespect to House Baratheon. Ours is the Fury and The Laughing Storm could never accept peaceful resolution. If he did, what would that say about him, about Lyonel? That he's not a storm but only a man, and an old one, far past his prime? That he's weak and irrelevant, and everyone around him is merely waiting for him to die so some younger stag can take his place? I don't think Lyonel rebels because he loves his daughter or is angered on her behalf (though thats certainly part of it). I think Lyonel rebels so he can live up to his own name.
It's an interesting philosophical question, what do you do when your name outgrows you? When you stand in the shadow of the mythical version of yourself that you helped create? And I think that its a question that not only pertains to Lyonel's story, but Dunk's, to the concept of knighthood and kingship and honor and glory and legend and memory, which is what GRRM is ultimately interrogating in these stories. And Lyonel is SUCH an interesting interrogation into this question, because he ultimately DOES NOT live up to his own name! Lyonel yields! We've never really seen a Baratheon (or a Durrandon) yield in the books! Not Durran, not Argilac the Arrogant or Orys Baratheon or Robert or Stannis or Renly long after them. (Except, notably, Argella) And Lyonel doesn't JUST yield, he yields to SER DUNCAN THE TALL, another big name which outgrew its owner (A name which Lyonel HELPED CREATE!).
Lyonel does not die a Storm King, like Argilac. He yields, he goes HOME to his FAMILY and dies an unnotable death. Lyonel's rebellion was not an act of love or dedication for his daughter, Lyonel's rebellion was a selfish act of vanity and pride, a desperate attempt for an old man to relive the glory of his youth and live up to the legacies of his forbearers, and to live up to his own legacy! I think that the real act of love committed by Lyonel was his acquiescence. Lyonel gives up his ancestral crown to be with his family. He chooses his daughter over kingship.
Lyonel's story provides a very fun parallel and foil to that of his ancestors and descendants, who choose kingship over family, to their ultimate destruction. Reducing Lyonel to a "Girl Dad" or just some guy homosexually obsessed with Dunk (not to deny their tension) or some other inane nonsense does a disservice to the complexity of his character as presented. And not only does it reduce Lyonel into a caricature of himself, but, more importantly, it contributes to the denial of personhood and identity to his daughter.
Because she's not a person, and she has no identity outside their relationship. She's just Lyonel's Daughter.