That is a fine looking bike!
What I try to get across to people, is that there is a learning curve, but that it is well worth going through the learning process. When you ride a fixed gear for the first few times, you will do what most people do: Pedal along for about fifty strokes, then get the urge to coast. You will be quickly reminded that no, you cannot do this. A few rides, and you'll settle in.
Where the "fear" comes from is another matter. In the 1890s, people, both men and women, rode fixies all over the place. Oh, for lack of a time machines.....