I'm not a religious person, but wouldn't have a problem with a Chaplain from that point of view.
I do have a couple of questions that would help form a more thorough answer. Firstly, what faith would they be from, seeing as how religious seems to be pretty much dead and buried on Earth in Trek? And secondly, how does one person handle the religious requirements of 150+ member worlds?
Commander Austin Harris, First Officer, Deep Space Nine (by FltCpt. Bossco)
8.01 - Darkest Before Dawn
(Chapter 8 added, 12/09/2015)