Same minute and same second? Most likely an automated script monitoring compromised addresses... it waits for a suitably large transaction and then forwards it to the address belonging to the thief with a LARGE transaction fee to make sure it confirms ASAP. It looks like your wallet or your computer is compromised... you need to verify the wallet that you downloaded to rule that out.

Did you download the standalone, the windows installer or the portable version?
Are you 100% sure you downloaded from here: https://electrum.org/#download

There are a number of "fake" Electrum websites which look identical! The ONLY way to be 100% sure that you have the legitimate file, is to check the digital signature of the file by using GPG and ThomasV's signature.