I am queen of awkward. If you can't overcome it, just embrace and grab hold of a good sense of humor. Because if I was not able to laugh at myself before anyone else I'd cry all day long. Lol
Being socially awkward isn't the worst thing in the world. I'd start out with groups where you meet people you have some common ground with. Or strike up a conversation with random people at the store etc. What really helps is learning how to engage. As in, face someone full on, be open, look them in the eyes don't fidget.
That takes stepping out of your comfort zone but for me faking it til I could do it without thinking worked for me. I suffered from horrible anxiety and agoraphobia and isolated for a year or two and suddenly threw my self back onto the sales floor. I made it work. You can too
Embrace the real you!