How can I make ammends with my wifes lover?

Angry at my wifes lover, I told referred to her as "that lesbian whore". I was upset because I discovered that her lover was moving into our new house, getting free room and board and getting $200 a month spending cash. Well, my wife went straight to her lover, her mother, her brother, and her sister and told them I called her a lesbian whore and called my wife a *****. I never called my wife anything, but nowher lover is very hurt and angry at me, her mother said I am not welcome at her house any longer, and her mother told me that my wifes brother is going to come down and kick my ***.

How do I make ammends after saying such a thing? Also, was my wife right in telling her lover that would hurt so deeply? Finally, how do you deal with your wife having a lesbian lover that is half her age?