Gout can be hard to diagnose, but your description doesn't sound like gout. If you see a doctor, he'll be looking for a red, very painful, inflamed joint, usually proximal to the big toe. He'll likely order a test for uric acid levels in your blood, which is highly associated with gout. First line treatment is generally an NSAID like ibuprofen, diclofenac or indomethacin. They may recommend dietary changes as well.
Healing well with psoriasis, PsA, and hypogonadism, and happy to share my experiences.