Our clan leaders are female, and a good portion of the members. There's one that's basically a beast at the Raid and knows how to get the whole clan through it super easy. Another strings curse words together in such and impressive manner that it silences the rest of the fireteam in awe.
Yes, "girls" play Destiny lol (and every other game out there). Further, grown women and moms play Destiny too! I'll be taking my 17 year old son to the midnight release to pick up his Ghost Edition, and when my copies of the game arrive from Amazon on Tuesday we shall destroy all the things together. :) I raised him on Halo, so playing together has become a family tradition that I love.
My gf "owns" the 27 Titan on my account. Plays non stop during the day. Even does strikes/raids sometimes with my group, she uses controller, I stay on headset -- group doesn't even know.
What are "girls"?
On a serious note, yeah I am quite sure they do, I have heard one before over a mic so yes I do believe they do play Destiny as much like many other games, like Borderlands, COD, even Halo.