Is there a type of title insurance that protects my interest in the property?

Yes. There is a type of title insurance that protects a buyer’s/owner’s interest in the property. This is called an “owner’s” or “fee” policy. The word “fee” is a legal term referring to the nature of ownership of the property, not to the cost of the policy. A fee policy insures the owner from financial loss if a problem is discovered in the future with respect to the ownership of the property.