Make another account, and use it instead, for either your gamer or professional persona.
The ship's already sailed on your existing content, but there's not all that much there.
While there are SE settings to "hide" stacks, using stack settings means you're trusting SE to maintain the separation for you, which is more convenient but leaves it in their hands. (As a commenter has mentioned, it looks like that hiding is not respected by the Android app, for example). If the separation is really, really important to you then you need to make different accounts so that the separation is in your hands not theirs. Use multiple browsers or private mode to be able to be signed in under two identities at once.