That is a very interesting question! There are few studies looking at gender differences in mirroring. I know of two (both by Cheng et al) showing, that women react a little stronger to watching a hand performing actions. That is they suppressed it stronger, does that mean they had a stronger mirroring action to begin with, or do man act out more easily? 
But coming back to your question in particular. It matters if the hand is female or male. It is believed that we mirror more easily to individuals that are closer to ourselves. Kaplan is a researcher that studies this: jonaskaplan.com