Well, I'll start with some fancy footwork around the point that without using verifiable evidence and rational though, there can be no reliability that what we think we experience is what we actually experience. If we "feel" something, how can we best establish what that is?
If we "feel" a god, how do we know we are feeling one god or 12? Or no gods, but just a feeling?
If we make it objective, how do we establish what other people feel, and communicate about it? If it's an emotion, we have no problem communicating about that - how many cheesy chick-flick rom-coms are there, centred around the common theme of love? Or hate? Fear too. We love scary stories!
However, these emotions are all about the self's state of mind, not about establishing the reality of a being. THAT needs objective analysis, not just subjective feeling.
Otherwise people can tell you "I won't let you do X because of something only I 'feel'!" If we are accountable to each other in society, then we have to account for the reality behind our decisions that affect others.