I hope I can _____ your experience/wisdom/intuition.
Is how I would like to use it.
What verb could fit here and carry the meaning of, "I hope I can ask you advice informed by your wisdom" for example. "Because of your wisdom, I hope you will grant me your advice."
It seems like "appeal to" almost fits, "query" also almost fits but doesn't have any "seeking advice" connotation (and might sound too interrogative?). For some reason I feel like "defer to" should fit.