I've gone out alone and rarely does anyone care or notice, its in your own head that it matters.

Think when someone speaks to you and there friends might be across the room as they're on the way back from the toilet or something do you go "hmm I'm suspisous this person has no friends so if thats true I won't talk to them" or does it not even cross your mind?

Seriously and when I am challenged with "where are you friends" I said, "at home, they weren't up for coming out tonight but I wanted to come out so here I am".