If my wife carried a gun in her purse it would take a couple minutes of rummaging thru her purse to get it out! Takes longer to get her keys or wallet!
For everyone's information, they will not let you travel with pepper spray on an airliner either. Some may allow a small canister in your checked luggage, but not any carry-on. So leave your firearms, knives, pepper spray, push knives, or just about anything you could conceivably defend your self with at home.