Not a "shooter", but the "No One Lives Forever" franchise is another example of a female protagonist in a first person game.

Edit: I completed forgot Chell from Portal, too!

wsc981 4 hours ago | parent | next [-]

Unreal actually also has a female protagonist.

KerrAvon 2 hours ago | parent | prev [-]

If Portal counts, so does Control

	▲	egypturnash an hour ago \| parent [-]
		Control's not first-person. You are looking at Jesse's back for pretty much every moment of gameplay.