I agree with those who say Ruger LCR. I have one with a Crimson Trace laser grip. It is very well made and has a great trigger. The other thing I suggest is to get some quality professional training and build on the learned skills. The short barrel revolvers are very difficult for many to shoot well. It is wise to learn things right from the beginning and build on the skills.
Also, realize that once you get your permit, there is a great responsibility involved in being armed. I recommend carrying on your person and not in a purse. Also, for times you cannot carry into a building, having a car safe is wise. In some cases, 2 cars safes may be better, such as when you must store in a car unloaded.
Learn not to do things such as "show and tell" with guns while you are out and about.
Be prepared for the reason you wish to be armed with a deadly weapon. There is no half hearted way to face combat. If the time comes, you need to be mentally prepared to act without hesitation and without holding back.
It all comes from quality training and followup training.
Good luck.