Hey lady, did you call my name?
Rock climbing is a fantastic workout, although not necessarily aerobic/cardio. To me it's a substitute for lifting weights as you are pulling your own weight up the wall - however, it's much more interesting because you are making lots of different moves that involve arms, legs, and core. The more core strength, the better a climber you will be. You use all parts of your body in multiple ways, and that real life variety gives a different workout every time.
Also, once you learn to belay, you can climb with anyone at any level. In fact, I have some friends who are happy to top-rope up to 5.10 and don't care about pushing further. When I had more time I really pushed myself by leading and working on the hardest climbs I could find, but now I'm happy just to go in and do it. Unlike a lot of other sports or exercise, you can get a good workout at any level of climbing.
To me climbing is a combination of yoga (because it settles and focuses my mind) and strength-buildng. It requires a lot of balance and flexibility. Women are often good at climbing because they use finesse rather than raw muscle!
On the downside, you can easily injure yourself overdoing it - hands, fingers, fendons, shoulders. Ask your PT about what moves to avoid. Often you can get creative and do a move a different way to avoid weight-bearing in a certain position. My climbing partner had rotator cuff surgery and still climbs like a maniac - she's just careful about certain moves. Be sure to warm up beforehand and stretch afterward.
You will know right away whether you love it or if it's not for you, but I do hope you enjoy it! Any other questions, just ask!