Ain't gonna work out in the long term. The black-haired obviously still has a sex drive but just trying to act cheerful/pretend everything's fine for her gf's sake, but she's gonna feel unfulfilled in the long run.
This reads like an asexual woman's fantasy about the unrealistically ideal lover. Kind, pretty, compassionate, all-understanding without ever needing anything for herself. In fact, it looks like she always puts her needs after those of her girlfriend. And she says exactly the things asexual women want to hear the most in the way they most want it too. She doesn't feel like a proper character, she only exists as wish fulfillment for women like the MC.
I wouldn't say the black-haired one obviously has a sex drive. I can imagine her as somewhere on the ace spectrum too. We don't really have enough information to say exactly what her relationship to sex is. And when it comes down to it, she is in charge of the decisions she makes. If she prefers to be with her love interest despite the difficulties, that's her choice.
Sure, maybe she is a kind of wish-fulfillment character for an asexual woman, but the author certainly explored the nuances and the main character's guilt about the relationship. Ace people deserve some wish-fulfillment too! There's certainly plenty of allo wish-fulfillment stories out there.