It looks like there is a problem with localbitcoins. This is exclusively their services problem, not Electrum's and not Bitcoin's. The money is safe, it will either remain with lbc or it will reach your wallet. You just need to wait for them to fix their problems
I just tested a send and I got the following message:
Outgoing transactions are currently not working due to hardware problems. In case you initiate a transaction, it will stay in pending status until the problem is fixed. After the problem with outgoing transactions have been fixed, your transaction will be broadcasted to the network.
So you probably have been affected by the same thing. Just wait and hope that they fix the issues. You can also try to contact their support.