How do I take a friend off my Facebook Account?

[Md]

There are two things you can do.
1) Remove her from your friends list. You can do that by going to her profile and then scrolling to the bottom of her profile page and then clicking on "Remove from friends" or by going to your friends list and clicking on the "X" next to her profile picture. She won't receive any notification that you removed her, but when she looks for you and can't access your profile, she will know.
2) Go to Settings > Privacy Settings > Profile and then next to the things you don't want her to see, choose "Customize" and then add her name to "Except these people".