Some people just don't want to go out, theres nothing wrong with that. I think your anxiety has concocted these consequences, if they do tell their friends then it'll stay within their friend group. Its after college, things don't spread like wildfire becusee no one sees each other again. 

Sounds like you've got to work on either your flirting or piking up signs that they were into you, I think those girls were just chatting as friends and when you blurted out date ideas you made it awkward and that's understandable.