Women respond to things emotionally. If you show her a typical episode of Star Trek, which appears indistinguishable in her eyes to other science-fiction shows out there, then you are not going to hook her in.
When I was in Las Vegas last fall, I was at the Star Trek: The Experience, and of all episodes, they happened to be playng my absolute favorite "Star Trek: Voyager" episode of all time in their gift shop at the time of my visit: the Season 2 episode "Lifesigns" with Denara Pel (Susan Diol), who is suffering from the effects of the physically debilitating disease of the phage virus.
Now, I don't know about you, but there was something warm, sympathetic, and caring about this character. How she could never be close to someone romantically all her life due to the effects of her disease. She hated herself, while she herself was trying to help her own people find a cure to this life threatening disease. And, also The Doctor. You can see from his point-of-view, how he is initially disappointed in himself for his lack of understanding and experience when it comes to interpersonal relationships, and just blurts out "I love you" to Denara just like that when she is initially warming up to him.
There was something about this episode that helps you reaffirm your belief that there is hope for humanity after all. Through Denara's compassion, she was able to show The Doctor what love is. And The Doctor for the first time in his life was able to show Denara how to care for the caring, humane person that she is on the inside. This was one of the few highpoints of "Star Trek: Voyager" for me. It is well-produced episodes like these that reaffirms my faith in why I came to marvel and appreciate Star Trek so much in the first place.