A man should never say “We should hang out sometime”.
He should say “I’m doing X this weekend. I’d like you to join me.”
Hanging out is weak. Women crave a man of decision. Have something to do and then tell her to join you.
Now the BABIES here will moan and cry and wring their hands if she says no. The MEN here will understand that the chemistry simply isn’t there so it’s on to the next.
OP, you are being a crybaby. You need to pull yourself up and stop this nonsense of fixating on one girl whom you barely know.
When you were a baby, just learning to walk, you acted more mature than you are acting now. You fell hundreds of times just like every other baby, and instead of whining and immobilizing yourself, you simply got up and tried again and again until you finally walked.
You need to STOP reviling the necessary learning process. Act, evaluate, and make corrections. That is the ONLY way you’re going to break out of your self-imposed prison cell.
You think you’re a special snowflake who can circumvent the normal human learning process. You imagine that you “should” do everything perfectly, unlike us mere mortals who are forced to learn as we go.
If you’re not good at something, then decide to learn and improve little by little. Perfectionism is a spirit killer.