Thank you for your lovely blog comment, I am finding it hard. TOOLS is helping, as is your kind support. Thank you for helping me to remember to think of how others are feeling, and not just how I am feeling - it helps to try and understand how others deal with situations too. Thank you. :)
Although I'm not sure whether you are asking how to shine as an individual (to others) when in the presence of a type A personality (a domineering person), or how to deal with those people, I will assume the former.
First, you need to know what your light is. Self-confidence, and knowledge of your own self-worth as an individual makes the difference between an overshadowed mouse, and a strong presence (even if you don't speak a word).
The only control others have over your emotions is the control you give to them. I know that comment sounds slightly condescending, when you read it, but it is true. And completely empowering once you own it. When you take away a person's power to affect your mood, by consciously choosing to respond (or not), instead of reacting instinctively, you have immediately taken control of your outcome away from them and back into your own hands.
To make a long story short, learn about the difference between responding and reacting, and work on your confidence and self-worth. Once you begin to master these, you (and others) will begin to see your light shine, even with a dominating presence around.
(I feel the need to offer this word of caution, though. If the domineering person is used to controlling your emotions through their words or actions (controlling = manipulating), it's going to annoy them when you begin to take that power back, and they will most likely increase their efforts to wrest it back, and keep you in the place they are comfortable for you to be at.)