Apple doesn't consider a swollen battery to be a fire hazard. The Battery Recall for the MBPro 15" (2015) model is to address a possible safety issue with some batteries where particular batteries may catch fire. If the Apple website does not show your laptop as eligible for the Battery Recall, then your laptop is not affected by the fire safety issue. Apple knows exactly which batteries are affected by the known manufacturing defect. The Battery Recall is not to fix swollen batteries. Apple has other free repair programs (some secret) to address swollen batteries.
Unfortunately it is quite common for Lithium-ion batteries to swell due to how difficult it is to manufacture a good Lithium-ion battery. Yes a swollen battery can appear quite scary, but Apple does not consider a swollen battery to be a safety issue as evidenced by other free battery repair programs addressing swollen batteries (the wording between the repair programs is drastically different in this regard).
Make sure you have a good backup of the laptop and then immediately stop using the laptop. Disconnect the charger and power off the laptop in order to get the swelling to stop (it will keep swelling as long as the chemical reactions are active). Have Apple or an Apple Authorized Service Provider repair the laptop for you. However, you will need to pay for the battery replacement for this laptop.
