As such, if ECDSA is suddenly completely broken such that there isn't time to move to a new signature algorithm, then an industry of trusted mining will have to evolve. It will become necessary to be able to submit a transaction directly to a trusted miner that will confirm the transaction into a block without relaying it to others that might modify before it is confirmed.
The block still could become orphaned, even trusted miners don't guarantee that ur coins r 100% safe.