I hated how Bleach fans turned Rukia into a IH Shipper possibly because her English voice actor Michelle Ruff hates IR!!! 😣😩
So I’m not 100% sure what you’re looking for with this ask, but I actually do really like Rukia and by extension Renji being driving forces behind IH getting together. Sorry in advance if this gets a bit rambly, but firstly is it is reasonably established in canon, as multiple orihime has her moments of doubt/insecurity/other mental crises Rukia does appear as a sort of cheerleader the most prominent example being the training in the Arrancar arc.
And then in WDKALY Orihime is the point of contact between Rukia and the human world and Renji starts pushing Ichigo towards her, something I doubt he’d do without prior prodding from Rukia, at least specifically towards Orihime, I could see him doing a general “damn I’m happy about being married, you should get a wife Ichigo.” But I think the fact it’s specified implies Rukia’s involvement. And now because I recognise your screen name I know you’ve seen my most recent ramble about the ending but as I discuss in there, I think it’s incredibly in character for her especially if you think she has feelings for Ichigo. Rukia is an incredibly self destructive character when it comes to doing things for people she cares about, her Bankai is even a perfect reflection of that with how it’s from what I remember the only one that risks so much damage to the wielder.
And the fact that we see Rukia pulls away in the lead up to and period after her wedding Rukia is trying desperately to refuse the fact both that she has feelings for Ichigo and Ichigo has any ability to exist in a space not limited to the human world. We know that his friends get soul passes but there’s never any indication he gets one, Orihime is who Rukia talks to about getting the Karakura gang to her wedding and in doing so leaves out Isshin, Karin and Yuzu, further evidence that she’s trying to undo her time with Ichigo.
And as a capstone to what we see even though we know he’s still considered at least partially part of the Seiretei still from his invite to Ukitake’s fairwell ceremony and yet theres an implication that prior to Yhwach’s return in the time skip both from what we see in WDKALY and the post timeskip chapters that their interactions continue to lessen in number this way as there’s definitely a lack of implication that Ichigo and the others know that Rukia’s now captain of squad 13 but then we also know that by BFH they’re calling each-other to talk about rather mundane things, a fairly significant shift. This of course also feeds some fantastic angst potential between the two of them in regards to how they’ve sacrificed their happiness to stop Yhwach. I mean I’ve written a couple things were Rukia tries to slide Orihime between herself and Ichigo to get him to move past her while sacrificing her feelings. So I’m not actually opposed to IH matchmaker Rukia at all.