I would have preferred them pairing up her and the doctor, but he blew his chance after publicly confessing his love for her.
I thought she'd made it abundantly clear before then that she didn't return his feelings.
Just because a man loves a woman (and vice versa) doesn't mean she's gonna love him back.
Loving feelings inside Seven would have killed her because of that Borg implant.
The Doctor asked her on a date because she was removing the implant because of Chakotay.
That lightbulb must have been afraid of killing this drone with his sexiness up to that point.
Chakotay obviously didn't give a shit, or forgot about her terminal limitations.