She's free to say yes or no to anyone who asks her for a date. Shouldn't she be just as free to say yes or no to anyone who asks her for a job?
Freedom of association is a core human right, and not just when it comes to dating. It would be unthinkable for the government to meddle in our choice of sports team to root for, house of worship to pray in, or neighborhood to move to.
You are free to join a gay men's choir because you like being with gays, or to avoid gay pride parades because you don't like being with gays. You can volunteer for a political campaign, attend a cocktail party, go to the beach -- or not -- and your reasons may be admirable (the candidate's record of public service) or not so admirable (the candidate's skin color). The choice is yours. Other people may disapprove of what you choose or why you chose it, but the law gives them no authority to stop you.
Interior of the Royal Exchange in London. Voltaire observed there the striking power of the free market to break down discrimination.
Freedom of association is indispensable to making a free society work. No culture is without unfairness. But where men and women are unfettered in their freedom to form or avoid relationships with others -- socially and economically -- tolerance and cooperation increase, and ugly prejudice recedes.