I hear ya Dhuze. I just know I won't get anywhere butting heads with her. Got to take some different tactics to get what I want.
Start taking the time to point out crimes that were committed in your immediate area as they pop up. When your wife sees/ reads about home invasions, murders, robberies and rapes in your neighborhood she may look at the idea in a different light. You have plenty of time while you wait for a permit.
I have always had a gun in the house but last year when a guy tried to smash into my neighbors house at 09:30 on a weekday, she mentioned that she was glad we were prepared.
Also, take the time to educate her about the safety features of modern hand guns including " Drop Safe tests". She may feel better when she understands that the gun will not just go off by itself.
Ultimately, it is a trust issue. She needs to trust you with a firearm the same way that she trusts you to get her home safely when driving on a rainy night. Also, I would recommend that you make a commitment to get some training and make her aware that you are going to do it. One of the reasons that you want to lawfully possess a firearm is so that you can ensure her safety and that you take it very seriously.
Give her some time, try to educate her to the best of your ability. The good news is that there is a dialog. Hopefully, she will come around.
If not...... start trying to figure out where you can hide a small gun safe with a couple of spare magazines where she will never find it.
Hide it with your porn, she will never look there and if she does she will never admit it.