Had a look at the rifle. A very nice Westley Richards bolt action. It is fits or is fitted to a lady, should be very nice.

Haven't hunted with a .243 so can comment. Have used 6.5s though which isn't far off. But I wouldn't have a problem hunting medium game species with a .243 and a good 100 gr bullet with proper bullet placement.

I also have used my .222 to shoot a lot of feral goats, roos, deer etc. The .243 is far superior to the .22 centrefires.

If I wanted a rifle for a lady who didn't like recoil, I would consider a .243, 6.5x54mm, and 7x57 as the sort of cartridges suitable and still very effective.