Hello , my name is***** and I will try my best to provide you with the answer to your question.
When a tooth is extracted , the periodontal
ligament and the bone surrounding the tooth must be pried away , so to speak, in order to get the tooth out. Using leverage by wedging an instrument between the tooth to be extracted and another tooth can be done if both are to be extracted but not in the case where one tooth is healthy and needs to remain. Wedging an instrument between the two teeth would damage the integrity of the healthy tooth's periodontal ligament and may even damage the bone on that side.
Having said that, it is done by some when the extraction itself is particularly difficult and the alternative might be to remove additional bone around the tooth to be extracted , causing a defect. The dental
surgeon may have been trying to preserve the socket bone as much as possible.
If the periodontal ligament was stretched in the process or compromised in any way, it may heal and be just fine. I am concerned that you are having pain
and that it is 'wobbly' but it may firm up an a few days to a week and be fine.
It sounds like a particularly traumatic extraction case . You will be sore for a few days to a week I would expect.
You are doing all of the correct home remedies. In couple of days I would add a warm salt water rinse.
Mix 2 tsp salt in 6 oz very warm water. Rinse and repeat until gone and repeat this morning and night.
If you continue to have pain in the tooth I would advise returning to the dental surgeon and letting him/her have a look. I don' know what the status of that tooth was from the start as I have no x-rays but it could be that it was in a questionable state and this trauma just added stresses that may have made it worse. If it was a healthy tooth and suffered the trauma, however, it will probably be OK.
I hope you feel better soon. Remember to be on a soft or liquid diet for a few days. I advise my patients to eat Popsicles or ice cream to help with the swelling. Try and get some rest.
Please ask more if I can help further.