Excellent question, I changed the icon to a dog face one, it's the "emergency card" quick access. I need to improve my UI/UX skills... :/
When you touch or click that icon, it will show you a card with all the information you might need to have at hand about your dog (owner info, allergies, medications, vet contact, etc.) You need to add this info into your dog's profile first.
I will try to add a new section with more screenshots and update some of them.