At first, I wanted them to ignore "Chapel's undying love for Spock." Now, I'm not so sure. It's not that I want them to end up together because frankly Spock is an "A@##" He becomes more rigidly Vulcan as he ages and IMHO Vulcan is always being filmed at sunset because it's culture is dying. Spock is right when he tells Christine that he can't give her what she wants. He can't. He would make her unhappy. Yet, with this actress there is chemistry. She's cast perfectly. She's feminine, pretty but not stunning, and sensitive.I'm looking forward to Chapel/Spock flirtation and intrigue. He is out of his depth with her.
I think I posted years ago that Star Trek should explore one love relationship that is Platonic. OMG! No sex! You're kidding me! Imagine truly Chivalric love. Trek has not explored that really and they had the opportunity with Kira/Odo which they screwed up by getting them together. Spock seems very open in Episode 5 to talking to her at some length. She plays her cards perfectly and hides her feelings.
Christine seems to be either bitter about men or a wee bit immature as she is emerging it seems from a promiscuity "no commitments" phase. Immaturity is fine because now she can grow and be a real character.
I, for one fan, am not of the opinion that Spock loves TPring. He's terrified of her. She has let him know that she is evaluating him carefully for signs of humanness. Vulcan seems to be a pretty ruthless society. If you don't please your bondmate she can have you killed. Spock, first and foremost when all is said and done is determined to prove he is as Vulcan as any of them. He fails at this.