They could just say "sorry, I already have a booking on that day, try Jim down the road...".
That would be risky. And eventually people who lie get caught out.
It is interesting how history is unfolding. With the coming of Christianity mainstream homosexuality disappeared. They resisted the craziness of Nero and the Romans. They believed in God and that giving up their life for a good cause (note : this isn't killing oneself or other people) would conquer extreme intolerance. A revolution in sexual relationships and family values came about, and free health-care.
And now 2000 years later, the opposite seems to be occurring all over the world (some have used the word sodomizing). You would think it's impossible for this country to remain unaffected. And you would expect another showdown between religion and the state powers to occur. Just a thought. See what happens.