Women are not men, you know this being this is your daughter and I assume you have a wife/women in your life.
I say this because I know the usual choir-routine that chimes in, "purse carry bad, women better off dead and disarmed than carrying in a purse..."
I know several women who carry and choose to be armed, even some that have looked into belly-bands/IWB/etc holsters for keeping the gun on them. But reality is they almost always default to a purse.
Women don't tend to 'dress around' a gun, they want their tight fitting leggings, fitted-shirts, a belt? lol, no, and they just prefer to do things 'their way'.
All this being considered, its usually pretty simple to get them to go the extra inch and treat their purse with more care and up their situational awareness. End the bad habits of tossing their purse on the floor when visiting a friend, maintain control of it in busy-environments, avoid tossing it in the shopping-cart while shopping, etc.