TexasCHLforum.com

don't show the gun unless all the lead-in conversation is favorable.

above all, don't surprise her with it. it might be even better to show her a gun (empty, of course) other than your carry gun, in the safety/privacy of your own apartment, first.

if/when you show her your carry gun, be very careful to clear it before you hand it to her (assuming she wants to handle it).

Disclaimer: I am not a woman, nor do I play one on TV. However, my wife was seriously afraid of loaded guns until the second time an undocumented worker tried to molest her. She actually got her CHL before I got mine, after that.