mystical (adjective): involving or having the nature of an individual's direct subjective communion with God or ultimate reality [the mystical experience of the Inner Light].
agnostic (noun): a person who holds the view that any ultimate reality (as God) is unknown and probably unknowable; broadly : one who is not committed to believing in either the existence or the nonexistence of God or a god.
The term "mystical agnostic" fits me well, though I have never heard the two words used together before now. I'd always thought the two were mutually exclusive.
conundrum (noun): an intricate and difficult problem.
That term fits me well, too. :-)