I saw a Navy chaplain when I was going through some tough times in the Marines. I told him right off the bat that I was an atheist and he didn’t push any religious shit on me. He just talked to me and worked with my command to get me seen by a trained therapist. Other Marines I knew had similar experiences. Chaplains are officers outside the normal command structure and are trained to provide services to everyone regardless of their faith or lack there of. Also a lot of military members are at least nominally religious so it makes sense to have someone to coordinate religious activity, especially overseas where there aren’t local religious institutions.