It looks like a good choice to me. I would expect closer to 850 fps from the 4-5/8" barrel. She will do much better with a round she can shoot well. The reviews are good on this load. It should shoot completely through on a deer broadside.
I would coach her to wait for broadside shots only, and hit them tight behind the shoulder for a double lung shot.

I down load the 357 Maximum for the wife's Contender from my Full House Loads. She was hunting with a 180 XTP last year. This year I am thinking about working up a 158 Grain load for her using the Hornady 158 XTP-FP bullets. My Full House 357 Maximum 180 XTP loads are a little under 2000 fps. They are a little much for her to enjoy. As are the Full House 44 Magnums for your daughter.

Bob