Sure, some people could have a preference. People rarely hire me do portraits of their children, and I straight up don’t do newborns as there are plenty of women that basically specialize in it.
But that’s just the point. People can hide men with their search parameters, but not women. Some people might actually prefer a man to shoot their wedding. Like you said, adding the ability to mark search for male owned businesses would make it all completely ok, in my opinion.
As an aside I’m often in the room when the bride is getting dressed, and of course it’s completely up to them. It’s just like any other profession that might see people naked - you handle it professionally, and you’re too busy doing your job to “enjoy” it. I’ve also done boudoir but don’t actively advertise it as that’s an uphill battle, but there are great male boudoir photographers.
The bridesmaids themselves (almost) always dress in private whether the photographer is a guy or girl.