I'm socially awkward and have this problem myself sometimes. I invite someone to do something or to meet up and they are often busy. I try to take things into perspective and give it some time and offer again.

Recently I had to do that, and then on the second offer we had a grand time and I was sent a follow up email. I found out during the meet-up that she has social awkwardness too and is so busy she forgets until someone reminds her of things.

I am learning to balance my needs for connection to people and the reality of people's availability. Also to quiet the gremlins in my head that like to attack me when I feel rejected and tell me it's all my fault, and I'm horrible, and no one likes me etc. They are just echos of bad people in the past and have nothing to do with here and now.

Relationships are so hard, I don't even understand a fraction of them yet. I wish you luck