Multiplayer shooters that feature female characters:
Halo 2
Halo 3
Halo Reach
Halo 4
Planetside 2
Blacklight Retribution
Uncharted 2
Uncharted 3
Tomb Raider
Gears of War 2
Gears of War 3
Call of Duty (in Zombies)
Left 4 Dead
Left 4 Dead 2
Mass Effect 3
I'm sure I'm missing a whole bunch, but that's a pretty decent list of franchises that haven't had their worlds flipped, turned upside down by the presence of female characters. If these games can do it, so can Battlefield and its ilk.
Minor correction: Halo 2 didn't have them in multiplayer