I think you should try to “totally" take away wine from Linux Mint. Some time it is not possible via GUI. You should accomplish it by using the terminal window. This method will take out all stuffs regarding that. First try the following code
if the above code wasn’t try the following code. One of them might help you what you are seeking for.
sudo apt-get remove wine
rm -rf $HOME/.wine
rm -f $HOME/.config/menus/applications-merged/wine*
rm -rf $HOME/.local/share/applications/wine
rm -f $HOME/.local/share/desktop-directories/wine*
rm -f $HOME/.local/share/icons/????_*.xpm