This is a tough one. What everyone assumes is that a only blatantly sexist person will dismiss your resume because of a female name. Obviously, such people will flunk you in the interview.

The problem is it completely ignores people who honestly don't believe they are sexist (and may even consider themselves feminist), but suffer from an unconscious bias. These people might be fine to work for and not be biased (or blatantly so) in the rest of the hiring process.

I never thought of orchestras as havens of gender bias, but they totally were:

http://www.theguardian.com/women-in-leadership/2013/oct/14/b...

And I'm sure the judges certainly didn't consider themselves as sexist.

It's totally up to you, but an easy solution is to use initials, such as AJ instead of Allison Jane. For some reason, we almost always assume initials belong to a man.

As for the recruiter, hopefully they know some stats about diversity, including if they are trying to improve it. But in general, a recruiter does not want to submit someone who won't pass the interview.