Hello and welcome to HCM,
The history that you have given suggests that you are having caries in your tooth which lies adjacent to the wisdom tooth.
Cold feeling in the tooth is indicative of caries in the tooth. Associated swelling is secondary to the caries in the tooth.
Since, the selling is secondary to the swelling, treatment of the underlying disease process is necessary to eliminate the swelling.
You can take pain killers and saline gargles for symptomatic relief.
However, these measures will provide relief for some time only.
Permanent relief requires treatment of the caries tooth.
You need to consult your
dentist soon.
A clinical examination is required to determine whether the tooth can be salvaged or not.
Root canal treatment (RCT) is a technique which can salvage teeth in advanced stages also.
If the wisdom tooth is also carious, management of that tooth is also needed.
So, consult your dentist at the earliest for fast relief.
Thanks and take care
Dr Shailja P Wahal