Shield EZ is a good recommendation and a fine .380. Friend got one for his wife. Easy to rack and use. I have a Sig P238 but its like carrying a small 1911 and has the same manual of arms.
Let me say I have shot a lot of small 380's and the lightweight ones are (to me) uncomfortable to shoot and practice with. I'm talking about the polymer types such as the Ruger LCP 380, The Keltec 380, etc. They work well for their intended use and are easier to carry, but there is a trade off in accuracy and comfort.
For what's it worth, if she wants to "carry" all the time, then I don't know if you are familiar with a KelTec P32 (32acp). That thing is small, easy to shoot, easy to control, comfortable to carry every day and all the time, safe, although just a bit lower on power. Add a laser to it and it makes a heck of a carry pistol. Women I work with tend to like them. Did not mean to change the subject or intend to hijack the post.