Besides sex/romance, what are some things you specifically ONLY want one gender when dealing with?

Stuff such as occupations, duties, coworkers, etc.

For example, I don't want to see a male doctor when going to the hospital because I don't want a male touching me or having to see me undressed. Likewise, I wouldn't want a female lawyer, because I don't think they would/could defend me as well as a like-minded man could. (Does this make me a little sexist? I doubt it, but I know some simpletons will assume that, anyway.) I can see other people saying they'd only want to deal with a male cop or firefighter. Or only a female masseuse or yoga instructor, or something.
Besides sex/romance, what are some things you specifically ONLY want one gender when dealing with?
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