Yup. Took ONE trip for me to overcome my fear. The majority of trips I ended up camping where other people were within earshot (or screaming/whistle distance, lol). There's always trepidation, especially the first two nights where I was actually the ONLY person camping in the immediate area.
Best suggestion is to go with your gut. For the most part, hikers are extremely friendly (and chivalrous- I've had more than a few men young & old offer to assist me with my tent/water etc). If someone gives you the heebee-jeebees, tell them you got an early start on your friends, tell them your SO is meeting you at the next trailhead, make a joke about how your friends are out of shape slowpokes. I've come to realize most people ask me if I'm hiking solo out of awe- I guess you can say that I'm a rare sight on the trail (see avatar).
One time I met up with a LASH hiker who initially seemed creepy, but very friendly. Needless to say, I met him again a few weeks later on another section hike, and I learned that it was just his demeanor- he was actually a nice, sweet guy. A little odd, but nice nonetheless.