Candidate for single implant in place of missing tooth?

Q. I have a crown on one of my front top teeth. The other central tooth is crowned also. I have had an persistent infection in the root canal of this tooth and now have a lump in the gum over it. My dentist has been trying to save the crown and do a root canal filling but has now discovered the crown is cracked. She has suggested extraction and a false front tooth on a plate and to include some other missing back teeth on either side of my top jaw. I can manage to eat without these back teeth causing any problems and don’t really want a plate. I have had sinus problems from my other infected teeth near the front on the same side as the present troublesome tooth which ceased when these were removed but my damaged crown is making my nose and cheek area a bit sensitive although there is not usually any throbbing pain. Would I be a candidate for a single implant of the missing front tooth?