Here’s a good Wikipedia description:
At the core of the dogma concept is absolutism, infallibility, irrefutability, unquestioned acceptance (among adherents) and anti-skepticism. These concepts typically invoke criticism from moderate and modulated conceptual approaches, and thus “dogma” is often colloquially used to indicate a doctrine which has the problem of claiming absolute truth, when other concepts may be superior.
A non-dogmatic Christian rejects absolutism, infallibility, irrefutability, unquestioned acceptance and anti-skepticism. And doesn’t believe there is only one ‘truth’ and only one ‘way’. There is my way and your way and as long nobody gets harmed this is wonderful. A non-dogmatic Christian doesn’t leave the thinking to the priests and ministers. A non-dogmatic Christian acknowledges that the bible is not the only source of wisdom.