Unless that ammo is old 38/44 "high speed"(and later D frames (from 1930's were OK could handle them on a limited basis) the P.P.S. will be safe.

But be ready for recoil and punishment of your hand(s). The early D frames, and this IS one, had a smaller grip frame, than those introduced circa 1926. Any D frame, with those "hard rubber grips" is a smaller frame. (Hardest Colt stocks(grips) to find are the wood ones with medallions put on D frames circa 1923-27, as they are the smaller sixe,
There is NOT much space between rear of T.G. and front strap, and this is what "punishes" during recoil. A grip adaptor will help, but usually has to be "sanded to fit" those with the smaller frames.
Colt realized the recoil problem, and made the larger frame, as I said, BUT never really solved the problem of the T.G./front strap.
Maybe won't be so bad with a woman's smaller hand, and I once helped a gal I taught with, learn to shoot her dad's P.P.S. as she was going through an ugly divorce, with an abusive spouse. But her gun was a 32/20, with less recoil than a .38 Special.

Have fun.
Bud

I have owned a couple of those guns. I had a five-incher that I carried as sort of a "kit-gun" for a few years. They are very compact, and the 5" PPS would slip in a coat pocket, or even hip pocket much easier than a 4" K-frame S&W.

The other was an almost like new 60's vintage four incher that I carried concealed for a few years. I have always regretted letting them get away.

Here's what they look like. They say 38 Special Federal on the bottom.

Very much standard fare for the .38 Special.