Especially when starting out as a Personal Trainer it is advised that you start to specialise in one chosen area. A personal trainer can specialise in strength training and can therefore become strength coach an area that has surprising few options and is a good area that has few competing options. This role differs from body building as it does not mean building size and muscle mass, it has a greater focus on helping people gain and build muscular strength. This is different to a PT who helps body builder. Building strength doesn't have to mean an increase in size, and for many people this is either required or wanted. When you specifically tailor an exercise for strength you are training the muscle to use more muscle fibers rather than add muscle fibers. For example, rock climbers want to be as light as possible, but will need lots of muscular and tendon strength. Sot why won’t be looking to increase their size. Similarly many people do not want or need to be huge, and may want to keep their current size for many personal reasons. Most women will fall into this category, but also many men will who either need to be slim for their careers or just as a personal preference.
Strength training can help a wide range of people but you could still target a specific demographic, for example you could target functional strength builing to people in certain careers or even offer this service as a b2b. Strength training can also help the elderly to help keep muscle mass, to improve stability and core strength.
Strength training is also a great way to tone and give shape to your body without adding too much size and creating a body builder shape.