Thank you for the question. The symptoms you describe indicate that the pressure you feel is coming from your sinuses. The nasal congestion from your cold creates a pressure in your sinuses. Some of the nerves that supply sensation to your teeth and gums run just under the floor of your sinuses. The pressure in your sinuses pushes on these nerves and causes a parasthesia (altered feeling) to the teeth and gums and can manifest as pain, numbness and/or swelling. Once your cold clears up the feeling of pressure in you gums will clear as well. I hope this answers your question.
If you have any concerns regarding this matter that I have not addressed, please let me know and I will get back to you with more information.
Sincerely, XXXXX XXXXX DDS