If you care about privacy: Let it sync. It might take a day or two, if you're using a strong CPU and have a decent internet speed.
If you don't care about privacy: You can export the private keys and load them on an SPV wallet, such as
Electrum. To export a private key, open up Bitcoin Core and type:
dumpprivkey
If you're in a rush AND you care about privacy, you can download the wallet software I've linked you above, and open it up with these parameters:
electrum --one-server --server=nw724n2hcotb2zaavdwhaudgggvpukb5ybpkz4duz7fvnp5fgkycsnad.onion:50002:s
The "--one-server" implies you'll only connect to one Electrum server. The "--server" defines what that server will be; in this case, it's mine. I don't keep neither share logs. To establish a connection you need to have
Tor running in the background.
Security tip #1: Whichever option you decide to pick, do it on a, preferably, clean machine. If I were you, I'd format some drive I've had to keep the private keys safe there air-gapped, and let Bitcoin Core sync my watch-only wallet (that would have the addresses only).
Security tip #2: Don't trust strangers in PMs.
