Exodus wallet is a non custodial wallet and you can get the private key for your wallet
How do I view my Private Keys?You will get two private keys for two bitcoin address: 1 (Legacy) and bc1 (bech32 address)
Click on ... at right corner (see the article), you will be able to Get your private key.
There are two private keys for two types of address and you can use each of them to import into Electrum.
Download Electrum wallet and import your private key:
File - New/ restore - Type a name for your wallet file (Next) - Import bitcoin addresses or private keys (Next) - Type (Click on Info)
WIF keys are typed in Electrum, based on script type.
A few examples:
p2pkh:KxZcY47uGp9a... -> 1DckmggQM...
p2wpkh-p2sh:KxZcY47uGp9a... -> 3NhNeZQXF...
p2wpkh:KxZcY47uGp9a... -> bc1q3fjfk...
If you want to import and get 1 address, type
p2pkh:your first privatekey from Exodus
If you want to import and get bc1 address, type
p2wpkh:your second privatekey from Exodus
After you finish the import, click on Receive tab and check the receiving address which should be exactly the same as in Exodus.