Can you avoid showing the Priority on the customer portal?

Can you avoid showing the Priority on the customer portal?

I don't want customers to select the priority.  I would like to set our own internal priority based on the request.  

I've created an internal priority field, which seems to work.  However, when I see the requests listed I see the external priority field on the list, which the customer can select from the customer portal.  I would ideally like to avoid having the customer set the priority?  Can I do that?  I can't seem to elect that the priority field NOT appear visible to the customer on the portal. 

Also, if I can't avoid showing the priority field on the portal, how can I have the INTERNAL Priority field in the requests list instead of the customer selected one?