Dear Anonymous,
Please don't take this the wrong way, but I found it kinda rude to just invite yourself to a party our two friends and I were invited to go to just because you said that "You guys are my only friends and I don't want to be alone." Honestly, being alone for thirty minutes isn't terrible. Perhaps it could have been a way to bond with the other people who hang out with us. Also, the three of us worked hard for months for the event we were celebrating where you didn't do a thing. You know we wouldn't do the same in your situation. So please. Consider this next time.
Sincerely,
Your friend