This is a simple sentence
We can learn that if you have the determination nothing is unattainable.
She has taught women that it is not impossible to succeed to life even if you have a child in you teens years you just need to stick with your goals and work toward the finish line.
Carmine is a shade of red. I think this refers to the red tulip changing from a green bud to a red flower. So therefore, putting on her carmine suit as in turning into a beautiful shade of red. This might symbolize change and growth.