A space at your AC joint indicates that the joint is not together as it should be but again this information isn't telling us in which direction displacement is and the extent of ligament damage. Does not sound like Type I which has no displacement. The best person to ask is really your consultant. He should explain the situation, risks etc with the type of injury he reckons it is, long term instability problems possible, if surgery would be better, his estimates on recovery. If I wrote out all the scenarios possible in the handbook it would just get you worried more, I can't say for definite if it's Type III IV or whatever, (there are V and VI as well)the Consultant should. What were you told immediately after the first time in hospital? How much rest/ sling/ advice did you get? How long do you expect to wait for physio?