My turkey had the same thing too. unfortunately we had to put her to sleep, but shortly after that i found in a book that it is called Spraddle Leg.
Spraddle Leg is a result of attempting to stand on slick surfaces;as the leg slips, the tendons on the inside of the leg can become permanently stretched, resulting in the leg turning outward. This injury happens very suddenly; the poult will never stand afterward and most likely must be destroyed. In her book
Day Range Poultry , Pat Foreman suggests a possible cure for spraddle leg. You need a small box, such as one for tea. On one of the long sides, about two thirds the way down, cut two small holes in which to slip the poult's legs On the opposite side, cut away part of the box so that the poult can poke its head out to eat and drink. Slip the poults legs into the two holes up to its hock joint, gently bend its legs as if it they were in a normal sitting position, and use a piece of medical tape to tape its feet to the box. Add a second piece of tape across its legs closer to the holes, and a third perpendicular to the first two, running between its legs. Keep the poult in this position for 24 hours and many times the poult will heal.
Im not really sure what size your poult is... it has been a long time since i had baby turkeys, so the size of the box would vary to the size of the poult. If it doesnt work out, you should think of the quality of her life. Im not really sure what to think of the swelling on her face... Sorry about that.
If you are wondering where i got all the info from, Check out Storey's Guide to Raising Turkeys by Don Schrider.
Good Luck and I Wish you Well!
Turkenstein25