I really don't care. I've never been the kind of guy who projects himself onto the character he's playing. Even in games with a silent protagonist, I pick up whatever details about their personality I can from their basic reactions, and go with that instead. I can see the problem for people who do; gender is a pretty big part of your self-image, and it's tough to settle into a persona that doesn't share yours.
Although the concept itself is evolving, sort of. Bioware games, which leave the main character as a blank slate and let you call the shots, allow the depth of customization they do for more or less that purpose. games like Bioshock and Metroid feature a silent protagonist which is definitely one gender or the other, but then they get you so involved in the atmosphere of the place you're in that you find it tough to fixate on which parts your avatar has. Other RPGs are slowly eliminating silent protagonists entirely; jRPGs in particular have started giving their main characters speaking parts (and if you're lucky, motivations and personalities of their own), and Final Fantasy leads haven't been able to shut up since number four.
The "damsel in distress" thing strikes me as a little weird. A person needing to be rescued is hardly a gender-specific thing anymore, and hasn't been for at least a decade -- it's just left the paradigm completely.