Keep out of their political fight.

* Don't take side, just do your duty. Even if you take the right side,  would you win the trust and respect in the long run?

* Don't play tricks, just do your duty. Do you best in your job, and do not lift a finger  to help others.

* show professionlism and integrity to the other female team leader, to show everyone that you could work with anybody and handle any situation.