"Internet" in your case would mean a connection to an internet service provider (ISP). You can get internet via cable, cellular or wireless (most telephone/landline service has disappeared) depending on what is available where you are. Sounds like cellular or wireless are you only options IF they service where you are.
Wifi is a networking means that replaces the wire. So you can have wifi, but no internet and internet with no wifi. What you want is an internet connection and probably wifi accessibility.