So, If I can draw a few imagined thoughts to try to grasp your question better: Your husband apparently doesn’t share his deepest darkest concerns and struggles and questions with you concerning his conversations with God. He doesn’t share his thoughts with you about how he thinks God seems to be leading him. He doesn’t share about his purpose in life and the spiritual challenges he’s facing, He doesn’t share the insights he’s acquiring, the growth he’s experiencing, or the earnest requests that he’s asking God to answer.
… And you’re concerned that maybe all of those “spiritual energetics” you’d hope to be going on in his private life, may be non-existent altogether in him. And as an introverted person, how do spiritual things grow and develop? And also: at what point might an introverted person become willing share personal spiritual things with a trusted friend or spouse?
I don’t necessarily have the answerers to any of these questions. But they’re interesting thoughts to ponder. I have zero insight into your specific situation, However I would offer what I think might be a relevant insight I have been pondering for over year regarding my own situation: I desire to reach out to my spouse; but can’t… The situation is complex and any kind of pushing would be “pushy” . So like you, I don’t want to be pushy. And I don’t want to mess something up trying to fix it. But I want to actually do what I “should do”. So, that’s the thing: we ask ourselves “what can I do??”
Take this for what it’s worth: But as I respond to the pickle I’m in: I am focusing on my own personal growth: growing into better habits, better emotional energies and attitudes… and essentially taking a long-term strategy: not to find out “what should I do” but taking progressive steps in response to a different question: Not "what should I do? But: “How should I be?”.
Taking this long term actionable approach to focus on growing personally can sometimes completely replace the need to know what to do. I think of it as as a long term, natural, passive-yet-actionable, round-about-way of dealing with the dilemma. It’s a way to do the things I can do; rather than by pushing to try to “fix” things that are not necessarily mine to fix.
For some people this might look like a concerted effort to develop themselves in 4 major areas: Physically, Intellectually, Emotionally and spiritually. (P.I.E.S). For example, someone whose spouse has left them, who is asking themselves “what can I do? or how do I fix this…” could do well to focus themselves along the lines of focusing on their own growth (personally) while the situation shakes out. (here’s a video that discusses that framework) https://www.youtube.com/watch?v=_DkXL26LiXE
Of course your situation isn’t nearly that traumatic as someone trying to “fix” their marriage, But from my perspective, It’s very possible some of the same considerations may apply.