A career as a lawyer offers a person a chance for a high-paying and rewarding career. It is possible to become a lawyer without taking any math classes in college. You can structure your schedule to take enough classes to permit application to law school without taking any classes in mathematics. Math is often a useful skill for a lawyer to have, but is not required at many law schools.
To work in the liberal arts, you need an undergraduate and often some type of advanced degree in the field. While most universities or colleges require that you take a hard science class to complete an arts degree, this does not have to be a math class. You should have the option of replacing math with something like biology or geology that is more accessible to people who don't like working with numbers.
There are not many jobs in the medical field that you can enter into without some college math classes, but chiropractor is one of them. Chiropractors treat joints and the skeletal system. In order to be a chiropractor, a student has to attend a chiropractic school after completion of a few years of undergraduate courses. It is possible to meet the requirements for admission to chiropractic school without taking college-level math courses.
A career in law enforcement does not necessarily require college mathematics courses. There are many paths to enter into law enforcement. In some cases, you can apply for direct admission to police school. In other cases you can do an undergraduate degree in a speciality like criminal psychology. Other people find their way to law enforcement after military service. In any case, it is possible to have a long and rewarding law enforcement career without taking college math.