Which version of Electrum did you download? And where did you download it from?
It is weird that it will start up and get as fair as asking for your password, but then the wallet doesn't open... It might be that you have some corrupt data in the Electrum data directory.
Have a look in: C:\Users\YOURUSERNAME\AppData\Roaming\Electrum
If you have you 12 word seed mnemonic, you can simply delete everything in that folder, uninstall Electrum and then try reinstalling and creating the wallet again. If you don't have the 12 word seed mnemonic for you wallet, then backup the "wallets" folder, then delete everything, uninstall and reinstall Electrum.
(NOTE: If you can't see the AppData directory, you need to show all the hidden folders:
https://support.microsoft.com/help/14201/windows-show-hidden-files)