A .22 is a good option if you prefer to drop the bulk and CC with a lighter profile
Discussion
No. Do not CC .22. That is really not smart.
Does it go bang? Will it blow a hole out the back of your perp? Can you fire more down range with significantly better accuracy for virtually everyone? Can you CC carry with a super low and unobtrusive profile while still killing someone that tries to harm you? Can you fire it without losing your hearing and getting disoriented when you don’t have ear protection?
Which of these have negative answers?
All of the issues with 9mm guns you allude are a matter of training. And without at least basic training and regular visits to the range you won't be effective anyway. The advantage is the much higher power of each round and do not think you will place many of them on your target on the move, in a stressful situation.
The point is it’s easier overall, particularly for a woman. Most people don’t receive the required training anyway and your defensive means will usually take place within 10-20 feet anyway.
I’d rather pull the trigger 5 times on target than 5 times with 1 on target and 4 elsewhere.