"Sure, besides maybe having someone to share it with." She says this in the long-vowels teasing tone she usually applies to Ajax. At first I think she means herself, and I think she's right. It does feel better now that she's here, and she's the only person I've ever been able to truly say that about. I'm about to muster the courage to put the sentiment into words when she continues. "Thing may have blabbed about your date with Tyler. How did it go?" This is such a hard one-eighty that it takes me a moment to calibrate. It's certainly no longer time for a compliment. I haven't thought about Tyler all night, even when I was coordinating Xavier's arrest with his father. But Enid seems to want to discuss the date. "It was....interrupted," I say. It's the only word that feels honest. Enid's smirk widens. "Maybe it's time to finish it? I heard Tyler is working the late shift..." It would never have occurred to me to do any such thing, but then I think maybe this is what Enid wants from me. Someone to discuss boys with. Dates. All the trappings of adolescent girl friendships I've always avoided like the plague. Maybe this is what she shared with Yoko. The thing that made the other girl the more attractive option when all I could do was fixate on attack patterns and organs in jars. There's more to parse out, of course. Part of me wants to confess that I'd rather stay here...."I'll tell you all about it when I get back," I promise her, and I head out for the Weathervane.
-from the novelisation of Wednesday.
So...
Wednesday notices that Enid is addressing her, while talking about having someone to share things with, in the same tone she uses to address Ajax-which is explicitly described earlier as flirtatious.
From earlier:
"Ajax," Enid says in that flirtatious way people sometimes do. Drawing out the last vowel.
And Wednesday, thinking Enid is talking about herself and Wednesday....agrees, and is about to reciprocate.
And then Enid reveals she was talking about Tyler and Wednesday's date-meaning she was definitely talking about having someone to share things with in a romantic context-and Wednesday reveals she hasn't even thought about Tyler all night.
And even with the knowledge that Enid was definitely talking romantically-Wednesday is disappointed to realise Enid wasn't talking about herself and Wednesday and had been about to reciprocate the sentiment to Enid.
And then Wednesday admits she doesn't even want to go and find Tyler-but she does so because she thinks that this way, she and Enid will have something to talk about, and that their bond will be less likely to end. (It's also made clear she doesn't want Enid to prefer Yoko to her.)
So Wednesday reluctantly goes out to continue the date with Tyler-with the clear implication that if Enid had been talking about herself and Wednesday, she wouldn't have done. She's only going because, in her mind, Enid just made it clear that she sees Wednesday and Tyler as a couple-and because she wants to have something to talk about with Enid in their friendship that Enid actually enjoys talking about, with her thinking that "maybe this is what Enid wants from me". Which kind of has a note of "Maybe this is only what Enid wants from me."
I was going to say it reads like that trope of the main character going on a rebound date when they've been about to confess feelings for their love interest only for a miscommunication to lead them to think the love interest doesn't reciprocate and then realised that's basically exactly what it is.
In the novelization, at least, Wednesday canonically believes Enid is talking in a flirtatious, romantic context to her and is about to reciprocate.