If you don't want the ticket to be in the open queue, you might need to change things slightly. What I did was to create a custom queue that only shows unassigned tickets and set it as the default. Agents can still view all open tickets, but the default view is only unassigned ones. When creating the new ticket you'd then assign it to someone, and thus stopping other agents from seeing it in the default queue.
Depending on how things work in your organisation, this may or may not be suitable... works for me though! As ntozier said, Answered isn't really a status as such, it just determines whether the ticket is displayed in bold or not.
