I agree, these are strange favorite female relationships to have. The reason why I consider them my favorites is because I find it interesting to read more about them, even if some of these relationships are antagonistic, even toxic in the case of Cersei and Taena.
2) I agree that Catelyn did make Brienne do something very dangerous and traitorous but I can fully empathize why she would do that as grief pushed her over the edge to make an irrational, emotional decision. Catelyn is also one of the few people who treats Brienne well and steps up to stop Robar Royce from cutting down Brienne which I'm sure she was grateful for. And while you're right, it's not a relationship between equals, I think it's very touching how important Brienne considers her vows to Catelyn to be.
3) I don't think it was rape because Taena responded positively to Cersei's advances even though she clearly attempting to emulate what Robert was doing to her. I'm curious to see Cersei's reaction once it's revealed that Taena's been playing her and I just find it interesting how flattery dissipates Cersei's paranoia for Taena specifically.
4) I haven't seen that theory so thanks for letting me know, I'll definitely be looking it up.
Just wondering, what are your favorite female relationships?