She is a beautiful kitty!
Even if she doesn't seem to eat the mice she catches, ask your vet about Revolution or Profender etc. These are gels for worms and other parasites and a small amount is put on the skin at the back of kitty's neck. For outdoor cats I think the dose is every 3 months.
I have a long-haired kitty that I give the gel to. I am supposed to give it to him every 3 days - about 1/3 tsp. Check the directions on yours.
He does NOT like being groomed - he has some very fine fur. But I do some every day.
Welcome home, Gracie!
"When I think of Mick Jagger still singing that he can't get any satisfaction in over forty years of being in the Rolling Stones, I have to conclude that he's either lying or not all that bright." -- Henry Rollins