Is it normal for a nutritionist to check near the vagina?

When I was 13 years old I stopped eating so my mother got worried and took me to a nutritionist. I liked him because between the session he asked me questions about me and then he said something like my future boyfriend will be lucky to have me. Then he took me to that kind of bed all doctors have and he told me to lie down. I think he was checking how malnourished I was and he was touching me and I was wearing a coat he told me to wear and he looked in and touched me near my vagina and I laughed and he asked if I felt something and I just said it felt ticklish and he was just like ok... My mother was there but she couldn't see. I didn't talk about it because I thought it was normal but recently i've been wondering if it really was.
Months ago my mom took my older sister with him and I asked her if he touched her there and she told me he did. But we were both kind of confused