Welcome to BYC, sorry your girl is having problems.
What variety of turkey is it and how much does she weigh?
You can admin. 5mg of Aspirin per kilo, tid. If she eats grapes a 81mg chewable cardiac aspirin can be crushed and the pile of powder divided into equal piles. If weighing by pounds: 20 lb hen, 2.5mg per pound = 50mg. Four equal piles 20mg per pile 3 piles equal 60mg. Pour those three piles in small cup, daub up with crushed grapes, mix in with a little bit up cut up peach, etc. (whatever you can get her to eat). The dosing is fairly forgiving. Had a Rooster with Bumble foot and a resulting arthritic hip/gait for many years afterwards. We titrated dose up to 10 mg. per pound and that at least allowed him to get out and at least follow his hens. Make sure she doesn't get startled and go flying up (the landing being the problem). Provide with clean soft bedding and no roost to fly up to, until she's no longer gimpy.
Can't address the utility of oils as I've no experience with them.
Again, welcome. Hope she's soon on the mend.