Important note, move your all funds (BTC) from Electrum to new Electrum wallet or any other wallet which is controlled by you (including private keys) before import your Electrum seed or private keys to any other wallet.
Nope. Don't do this yet until you let us know what type of address you have accidentally sent your BCH to.
If you have sent your BCH to a segwit address, then all that is needed to move those BCH is the
public key of that address, and not the private key. If you spend the BTC on the corresponding address on the BTC chain, you expose the public key of that address, meaning anyone can then steal your BCH.
The best option here is to not try to do anything with your coins on either chain until you tell us exactly what kind of address your BCH is at. Only then can we provide more accurate steps as to how to safely recover your coins.