Summarize:

Strong-minded girls are used to being in control, and they can appreciate when a guy takes charge. Go right up and talk to her, let her know that you're interested. She might be guarded at first, but she'll mostly likely be impressed by your directness. Don't be too forceful or demanding. This could give her the wrong idea about your intentions. You don't have to be a "bad boy" to display confidence in yourself. Stay relaxed and comfortable in any situation. Be assertive; use a firm, clear voice, and speak your mind. She's probably used to being the most confident person in the room. Stand out and show her that you're just as sure of yourself.  Assertiveness is the key, not aggression. Come on too strong and you risk looking like a jerk. Let your personality speak for itself. There's no need to brag, but don't downplay yourself or be unnecessarily modest. Take pride in yourself and own it. Loosen up. It's more impressive to people if you can handle mistakes and awkward moments gracefully. If she values her individuality, she'll also be able to recognize yours. Don't mindlessly follow trends or conform to what others are doing hoping it will get you noticed. Instead, be up front about your interests and beliefs and make it clear that you're someone worth knowing. Find things that the two of you have in common, no matter how small. You don't have to dress the same or have the same favorite band, but the more she can relate to you, the more comfortable she'll be around you. Finding things you have in common can be as broad and impassioned as political beliefs or as casual as your favorite breakfast cereal. Take this opportunity to get to know more about her, and as you do, you'll find that you have more things you connect with. While it's great to be direct, assertive and up front, leave a little for her to wonder about. She'll want to know more about you if you keep her guessing, and you'll come off as a more complex person. This could be the lead-in you need for your next conversation or date.  Hold a little back in conversation. Don't be too eager or talk about yourself too much. Let her imagination do some work in figuring you out. Don't complain. Quiet dignity is an undeniable trait in anyone. There's no need to lay it on too thick. She'll know if you're boasting or trying to seem more appealing to her, and talking yourself up too much can be annoying.  Confidence and assertiveness are qualities that anyone can develop, not stand-ins for your innate personality. If you get too wrapped up in trying to impress her, you'll lose sight of yourself. Trust her enough to let her make up her own mind about what she wants.
Make the first move. Exude confidence. Be your own person. Relate to her. Be a little bit mysterious. Don't try too hard.