Firstly cut the burnt fibre with a razor blade. With a stiff brush, pull fibres from the carpet into the hole. Use some glue in the hole and spread the fibre onto it. Use a newspaper or towel to press. Let it dry.
A moist piece of sugar will draw out the poison. Lemon juice or diluted ammonia helps with itchy mosquito bites. Wasp stings heal faster if you rub fresh parsley on it. However, if severe swelling occurs, consult a doctor.