Positive vibes for you! Mayo Clinic says that swollen lymph glands are not an immediate threat to life, see here:
( I Googled: Painful lymph glands in neck and under arms )
https://www.mayoclinic.org/diseases-conditions/swollen-lymph-nodes/symptoms-causes/syc-20353902
Overview
Swollen lymph nodes most often happen because of infection from bacteria or viruses. Rarely, cancer causes swollen lymph nodes.
The lymph nodes, also called lymph glands, play a vital role in the body being able to fight off infections. They work as filters, trapping viruses, bacteria and other causes of illnesses before they can infect other parts of the body. Common areas for swollen lymph nodes include the neck, under the chin, in the armpits and in the groin.
Sometimes, time and warm compresses may be all that's needed to treat swollen lymph nodes. Sometimes,>If an infection causes swollen lymph nodes, treatment depends on the infection.