Dear Queenie,
I have a friend who always interrupts when I am saying something or telling a story. I would tell her to shut up and let me talk, but I don’t want to be rude and I don’t want to annoy my other friends who are her friends too.
Queenie, what do you suggest?—Fed-up friend
Dear Fed-up friend,
Are you the only one she does this to?
If she does it to everyone, you can ask her (as politely as you can manage) to be quiet and let you or whoever is talking finish what you or they are saying.
But if it is just you, you might consider whether you talk too much and/or take too long to say whatever it is you are saying.