Is it normal for someone to want me to confide in them?

The past few years I've been going through a really hard time. Emotionally more than anything. I guess this woman I've known kinda recognized me beening in a lot of emotional pain. She basically told me one day everything that I was feeling inside but are things I wouldn't say. Like she asked me once if I had any friends. I responded I considered everyone we knew to be my friend. Of course that was just a cover up of the truth. Then she asked me if I had like this one person to go to. I had to tell her no. She told me not to stop praying for one which is in fact what I had did, I had stopped. She also said I needed someone to confide in. She said other things that basically were all true that I've never verbally said before. And I remember her once giving me this look it was a look of motherly concern. I didn't speak to her for a while after she said these things to me. I felt violated or as if someone knew my deepest thoughts and feelings without my permission. And I felt creeped out because everything that she said to me were true. I now a year later am very thankful she did that. I don't know if she were referring to herself to be my friend. She also told me her favorite song was river deep mountain high by tina turner. I looked up the lyrics. I don't know if she were referring to me? Anyway Im afraid to confide in her because I don't know if I can trust her. I'm afraid if I tell her she might go back and tell her friends and then everyone will know. I want to confide in her though. Now I do. I want her to be my friend but I'm scared,& I don't want to get hurt. When we talk it's obvious were avoiding the big elephant in the room. But I really want to confide in her because I believe she is concerned. I love her for trying. What do I do?