Right jaw joint sore after waking up

Thank you. You did an excellent job in describing the symptoms that you're having at this time. They are directly in line with what we see when a attentional underlying TMJ misalignment is complicated by snoring and sleep problems.

The reason your teeth don't fit together is that your left and right temporomandibular joints are out of alignment.

My suggestion is that you schedule a comprehensive examination with a TMJ pain management specialist who also was trained in sleep disorders and snoring.

The symptoms that you have told me about are very common. Treatment always begins with conservative treatment. With appropriate care you should expect a good result and elimination of problems.