The game you're describing sounds like "Abe's Oddysee" or possibly another game in the same era, but given your specific details—especially the aspect of being a hunter with a shotgun—it might actually be **"The Last Hunter"** or **"The Wild"**.
These games often feature a retro 2D top-down style and involve shooting enemies in a jungle setting. If neither of these titles is the one you're thinking of, it may also be worth looking into


