I don't know that I would term my experience as a 'relationship' with God, but I came to believe that God heard my prayers and would provide comfort. It took being df'd to realize that-because I didn't have these experiences earlier when I was a goody goody JW.
When I was single, pregnant and df'd, I would pray fervently, and frequently experience a sense of peace. I knew that at a minimum, I could rely on God to calm me down. I guess I didn't expect all my prayers, or even any of my prayers to be answered. Because of this experience while on being on the outside of the org, I started to feel that I didn't need to slavishly follow org. dictates and that God's favor could be found outside.