In a sense this is already happening. If a man says he does not want to date a trans women, see what names he get's called. Ofcourse only from extremists. It has not reached the norm yet. And it never should because it would mean we have not accomplished anything.
If a bio-female (as you refer to them) only wants to date a bio-male it could have basic logical reasons and nothing to do with thinking anything of non bio-males. For example wanting a child with your partner. Which, as far as I know, is still only possible between een bio-male and bio-female. (I continued using those terms because of your post, I hope I got their meaning right)
Then there's also...pheromones. Powerful things, those. Physical attraction is a multi-faceted and complex thing.