You have setup access deny to main content editor role (sitecore/MySite Content Editors) for read, write, rename, create, delete and administrator.

Now for \Special rights, you have inherited the same role, that may be the cause of this issue - overriding the inheritance access

Can you please try the below steps:

- Create a duplicate role same as (sitecore/MySite Content Editors)   
  – Without any access deny – let’s say (sitecore/MySite Content Editors Secure)  
- Provide role to user - Special rights and (sitecore/MySite Content Editors Secure)