Once she is asleep, you should be able to pick her up without much fuss. Even my biggest a-hole rooster will let me handle him at roost time.
If you need to, you can wrap her in a towel to keep her wings immobilized. Some chickens will lay still if you lay them on their back in your lap with something covering her eyes. Since you cannot bring her inside, bring a bright flashlight and look her over outside.
If she shows any signs of stress - like she just won't calm down after a couple of minutes, is breathing hard - put her back in the coop and try again later.
If she isn't too severely injured, do as
@MurrayAP suggests. You can keep her in a crate in a room where the dogs do not go. Like the bathroom. She could just be sore and bruised, but you need to know what you're dealing with first.