Probably not.

Then again, I don't trust my bike in the hands of male mechanics around me, either. I'm sure good ones exist, but most around me look to be high school/college kids that I can't imagine have that much more experience than me, especially on systems that aren't modern.

To be honest, though, most people I've seen leave stuff for mechanics have little clue as to who the actual mechanic working on their bike is, so I don't see why it would be an issue. Or, why one would care to begin with, it is not 1950.