If you do not want to wait you can use your Ledger device also with a adalite. Please see this similar thread for details: Adalite to Yoroi wallet
I would not recommend to restore your seed words of the hardware wallet in Daedalus or any other software wallet, because this basically breaks the security implications of a hardware wallet. One can do this in a “case of emergency” but then that hardware wallet seed should no longer be used. (same concept as for a paper wallet)