They eat them (up to 5,000 ticks in one season) and do not get Lyme disease. And are rather resistance to rabies.

Opossums Eat Ticks! Misunderstood Marsupial Good For Your Yard
In addition to being relatively harmless, the opossum is also one of our greatest allies in fending off ticks that carry Lyme disease. Read more about this on our blog.
www.mosquitosquad.com