There is certainly no need to apologize.
The primary reason for the picture would be to look for any evidence of any infection in the soft tissue, and the picture clearly does not show any evidence of such an infection.
This probably started as an obstructed sweat gland ad the squeezing caused some of the accumulated material to spread into the surrounding subcutaneous tissue resulting in the swelling. This is not a serious problem and will usually resolve with conservative management. It is true that cold will help to ease swelling, but ice packs will do better than cold compresses. The ice packs should only be left in place for about 15 minutes, but they can be applied again after the tissue returns to body temperature. Usually, 3-4 times per day is sufficient, but when the swelling is more severe, they can be applied every 30-60 minutes.
After the diffuse swelling goes down, warm compresses are actually better to help drainage. If the swelling is intermittent, getting better with the ice and returning later, it is also OK to use the ice to ease the swelling and then the warm compresses.
It also is important to clean the area well a couple times per day and to limit the use of cosmetics directly on the original site.
If I can provide any additional information, please let me know.