Animals that are gutshot should not be pushed and will freeze up once they lay down. Most times they will not go far if left but if pushed will run great disatnces. Now while it is a double edge sword due to the guts, etc being introduced to the meat, it is a much better thing than chasing them all over hells acre. Being a bow hunter I have learned the importance of giving time before giving up chase, it has spilled over to all my hunting regardless of the equipment used. If unsure of the shot or wound relax your track, if you track do it slowly and quietly. Listen and pan, IME even poorly hit deer will not travel to far if the internals are distrubed and left to "stiffen". Push and bump them be prepared to be at it for awhile!

Once you retrieve these type of hit animals, gut immediately and wash thoroughly with clean water. If need be trim areas that smell or were heavily affected - ie: inner hams upon gutting. It ain't ideal or pretty but it can be salvaged in most cases.