"Convert" it to HTML? Twine exports HTML. It's famous for that. What was there to convert?
Simply export your game from Twine and upload the resulting HTML file as-is. Hope this helps.
...That's the file type filter for the "save file" dialog. It simply means you can see all existing files when choosing a name for your export.
...I just tried it, and Twine offered to publish my game in a file with the same name as the story and the .html extension. You only had to press OK. Please double-check what you did.