To be fair, though, I've seen further in the Kelly run, where most of the Bats/Wondy story takes place, that Batman does make an effort to be more open to her.
Also, I really don't get your statement earlier that Batman is sexist--not even because he's my fave character, I just don't see it objectively. To the best of my knowledge, besides the odd example in the 40s which were...less sophisticated times, there hasn't been a story where Batman has dismissed someone because of their gender. If anything, he's pushed more girls away because of his massive emotional issues, not because of any latant sexism.