But that is if you can get Electrum to connect through Tor in the first place. As far as I know, Electrum makes direct connections to the servers, which I believe are unencrypted on top of that, and also it does not have an option in the GUI to use a proxy to connect to the servers. And certainly not a SOCKS5 proxy option.
I am not as familiar with the communication protocol that Electrum uses as I like to be but as far as I know the communication with the servers are actually encrypted using SSL encryption and you also store the servers' certificate on your device found in %APPDATA% \Electrum\certs.
There is also a "Proxy" tab in the "Network" window (found under Tools menu) that allows you to enter a custom proxy to be used (SOCKS4 or 5).
Thanks for that correction. I have just went and enabled Tor routing, which just happens to be the top option when you click on Network, and I was disconnected for a few seconds but successfully re-established a connection via Tor. I don't know why I didn't see this earlier, but I had always thought that the Network page was just a list of statistics and servers to select.