I accidentally unstaked my Eth from my Ledger Live account into another Lido account.
there is no way to unstake on behalf of another address so I am not sure how it happened to you.
when you unstake by submitting the withdrawal request via Lido widget, you have to wait for the fulfilment, and then claim your ETH. Please check if you can see any unclaimed item in the claim page: Withdrawals | Lido. If you can see, it mean you still have access to claiming you ETH once it is ready.