From the photograph you show, it certainly does not look like a healthy implant. The possible reasons for this are 1) thin tissue type (very thin gums don’t “handle” dental implants as well as thicker gum tissues, 2) cement not completely removed after crown was placed, 3) infection, 4) biting trauma or bite too heavy on the crown.
I would visit with the dentist who placed the implant for an evaluation. It may be possible to graft some thicker gum tissue in the area, which will help as long as there is enough bone around the implant. If the implant isn’t failing, your dentist will remove it and either place bone and gum grafting and wait, or possibly place a new implant right away with bone and gum grafting. The new implant will likely be placed deeper within the bone, and also a little more away from the cheek and towards the palate for thicker bone and gum on the cheek side of the implant.
Good luck!