Yes it makes a big difference!
If it is a 'cantilever' design (ie it has a metal wing on only one side) then I would suggest trying to gently remove it so as to prevent accidental swallowing or inhalation.
If, however, it has a metal wing on either side, I would suggest leaving it in-situ, as it should be retained by the remaining bonded wing. You are most unlikely to be able to debond the remaining wing yourself with no ill-effects to either the bridge or the supporting tooth.
In either case, a visit to a dentist is going to be needed.