Your bug report doesn't follow the bug reporting guidelines, so will likely be closed automatically by Ashley unless you remedy.
Just saying your game doesn't work on an external site is not proof that C2 is the problem.
Firstly, have you tried exporting using the latest version of C2?
Does your exported HTLM game work from other hosting sites such as Dropbox? If so then it can't be a problem with C2.
What, if any, error messages are shown in the browser console?