Want New Relationship

I have been divorced for about 7 years. I am finally ready to get into a new relationship. I was avoiding getting into a new relationship before now because I didn’t want my ex to interfere. Now I feel like I am not sure how to go about it. Mentally, I was keeping men away and now I feel like I don’t know how to send the signals that I am available. I was on the beach today swimming alone and a good-looking guy was in the area, also swimming alone. I moved far away and continued swimming. He did the same thing. Eventually he came kind of close to where I was and asked if I was okay. I only half-way looked in his direction and gave a thumbs up. After that he left. I don’t know why I gave him the cold shoulder when all along I was hoping he would say something to me. One thought I had was “what will these people on the beach think?” even though they were complete strangers to me. I think I am also afraid of being thought of as “easy” cause a guy asked me that once before (decades ago) and it really stung. I don’t want to give off frozen vibes but I don’t want to be an old maid either.