ATFL Tear. The atfl is a ligament that helps to stabilize the ankle. While it is possible for ligaments to heal over time, the better question is will the atfl do its job after it heals. Only close follow up with your foot and ankle physician can determine if ankle stability returns. If not, surgical correction might be required.
Doubtful. I assume you are talking about anterior talo-fibular ligament of the ankle? Totally healing is not always necessary if it is just one of several supporting ligaments in the area. Sometimes taking the conservative approach outweighs the surgery risks of healing time and complications. Discuss subtleties and treatment decision, rationale, pros & cons with your orthopedic surgeon.