Engineers are logical thinkers. They are problem solvers that are constantly thinking of ways to solve issues, to make things better. As a woman, I found that our tendency to think (and often over think) played nicely into engineering. Moreover, I met doctors, lawyers, and many other professionals that graduated with an engineering degree and became something else later on. That's the flexibility I wanted. It became clear to me that this degree was the perfect foundation to fulfill my dreams.
It is unfortunate that so many young girls begin losing interest in math and science during middle school. I think several negative misperceptions are the cause: boys are better at math; science and technology are male-dominated fields; science is boring. Don't believe any of them! If you like math and science and put in the work, you will be just as great as any other student. If you have a passion for science, it is never boring, it is fun and exciting and cool.