Do symptoms point to infection of dental implant?

Q. Two weeks ago I finally had my dental implant put in. I stuck to all the dentist’s instructions what with salt water to rinse mouth and medication, but still managed to get red sweling around the area. From what I have read up on it would seem that the implant has failed and I have made an appointment within the next few days. Does this kind of thing happen often? Is it likely to happen again if I get the implant done again? How long will it take for the gum to recover from this?