Hello & welcome
According to the symptoms you are presenting here your problem seems to be associated with your gums inflammation known as gingivitis
As no cavity is there & pain progressively become intense (in starting while chewing and now even on touching) so most probably this is gingivitis and there is no need of RCT and extraction.
start doing warm saline rinses 3-4 times a day, Hydroxyl mouthwash in 1:4 ration twice a day, message with metrogyl
gum paint for 2- 3 minutes twice a day.
visit to your dentist
for deep cleaning you will get relief.
thanks and take care.