Allowing a group of centralized elites to control mating opportunities. Gosh, no way that will be misused.
Existing approaches try to make matches between people who (ostensibly) share common interests, which definitely include meeting someone who they'll get along with, possibly for marriage, possibly for hookups. Some of these put an emphasis on raw sexuality, others claim to be about long term stuff, but ultimately each attracts a userbase suited to that behavior. The fact that you have to back up your tinder profile with some game is a feature to the users who are choosing to select someone who is capable of that, not a bug. The fact that you have to put up with endless tests on some sanctimonious religious website is a feature to the other users, not a bug. These tests are designed to weed out the people who do not and can not meet those social standards, physical standards, whatever.
What would putting an AI- even a really good AI- in charge of it, do? What's the goal of the AI? Your goal and the goal of your potential picks might be similar, but why would you assume the AI would have that as its goal? If the AI is trusted, a way to game that trust (and therefore get a potential mate you may not otherwise be able to) would be worth quite a bit to unscrupulous individuals as well. Your BEST case scenario here is that you give a lot of power to some goddamned server room.
A bigger thing is, what's the goal with an AI-driven matchmaking or hookup site? What's the model that pays for everyone at the company? Is it subscription based? Are they literally incentivized to keep you on the website meeting people, instead of being involved in a monogamous relationship with no need for their services, even if that is both your stated and actual preference? "Uh oh, these two would be a perfect match, and therefore we'd lose two customers. Better prevent them from meeting each other through this app!"