Good question. Bond didn’t fire the bullet that killed her, but he did swing her around to be a human shield. Technically, he’s not her killer, but he is at least partially responsible for her death. But how innocent a character is she? Aziz Fekkesh is a bad guy, but we don’t know much about Felicca other than that she appears to be Fekkesh’s lover or mistress and seemingly willing to make out, if not sleep, with Bond to preoccupy him until Fekkesh gets back. That doesn’t make her bad nor completely innocent, although she may not even know what’s going on other than where Fekkesh is meeting Anya. The moral of the story is, pick a better/safer boyfriend.
As for the question, I say Felicca is not a cold kill since Bond didn’t pull the trigger, but I can certainly understand why some would. And if one believes she really is an “innocent bystander” then Bond using her as a human shield rather than pushing her out of the line of fire may be his coldest kill of all.