Is it normal to fear making new friends in 30s?

I haven't had a solid friendship in over 10 years (excluding my ex) and now that I am newly single, it really hit me how alone I really am and without any real friends. Family keeps telling me I need to get out and meet new people, but it scares me. I've been so used to just my past relationship and his friends that I fear rejection if I pursue a new friendship or just new people in general. I've been hurt so many times with trusting friends thinking they have good intentions when really they were just using me and taking advantage of my kindness. Also, in the past I tend to be the only one making the effort to maintain the friendships and then they just dissolve. I don't know what to do!