I have send him/her screenshot from my phone with the payment confirming its me,
i am not hardware specialist to fix my ledger
Am I correct in assuming that the above screenshot was taken from the Ledger Live mobile app and you own a Nano X wallet? If the answer to that is "YES", then it probably has something to do with its awful/unreliable battery and you can find the solutions in the following thread:
Ledger Nano X Battery Pandemic [make sure to read all of the comments]- I hope it helps with speeding up the refund process.