I recently had a tooth filling and pain started just after that.

Dental Restoration: If the restoration was deep and close to the nerve, your symptom is not uncommon. Your dentist knows exactly what treatment was rendered, so give them a call

Asst symptoms: 2 separate issues. Tooth pain may be due to the extent of the decay that was treated, or the filling may be a minuscule amount too high. Sore bleeding gums indicate a gum infection. Get back to your Dentist as soon as possible. He/she's the person that knows your situation the best.