I'm using the latest version and installed it on my desktop, memorized my seed phrase, set my password and moved some coins into my wallet.

Since I have my seed phrase memorized and since I'm using Electrum for cool storage, for security I deleted the program from my Windows computer thinking that I could easily recover my wallet with the seed phrase.

About a month later I wanted to check my balance and so re-installed Electrum and when I did I saw I had the option of opening my wallet or starting a new wallet. I selected to open an existing wallet thinking I would need to enter my seed phrase but instead it only asked my for my password and when entered, there were all my balances.

Why is this? If my computer gets stolen all anyone needs to do is crack my password and they get my coins. I want to remove any trace that Electrum was ever on my computer. Can somebody tell me how to do this please?