“I end up feeling like a piece of garbage”
One possibility:
Think clearly of an EARLIER time in your life when you felt personally rejected. After you successfully deal with that, then you will not be as affected by this seeming display of rejection which is not their intention.
Another possibility:
Do you think of yourself as “less than?” If so, then you would naturally interpret others’ actions as justifying your demeaning thought of yourself.
If this is the case, you know what you need to do.
I’m sure other posters will give you additional possibilities and suggestions.