I downloaded the latest Litecoin electrum wallet for windows but it will not connect. Has anyone any idea what the issue might be?
Have you seen the notice:
Versions of Electrum and Electrum-LTC older than 3.3.3 are vulnerable to a phishing attack, where malicious servers are able to display a message asking users to download a fake version of Electrum. To prevent user exposure, versions older than 3.3 can no longer connect to public servers, and must be upgraded. Do not download software updates from sources other than electrum.org and electrum-ltc.org.
Phishing is a email or phone message inviting you to click a link.
Try a linux liceboot and download the appimage.
Beware after switching off the linux live version all data is lost.