If I delete, will my sat be back in the wallet?
Yes.
After a month, Bitcoin Core should be able to forget this 1 sat/vbyte transaction. It's even under the purge limit.
Alternatively, you could probably import the private key into Electrum and create a new transaction there, but try first to wipe this transaction from your Bitcoin Core.
Just want to confirm this. As far as I understood, if you post in public the transaction that you want to accelerate, you might be in trouble because if you don't accelerate it and will hope that nodes will forget your transaction soon, then there might come someone evil who will push nodes to broadcast your transaction and it will be unconfirmed till the day recommended fees match to your TX fees.
You can wait a very long time for confirmation with minimal 1.00 sat/vB fee that you used
That might not happen for months in the best case, years in the good case and never in the worst case.