See Anjali's objective is to somehow prove herself equal to a boy and gain respect. Her goal is not even Everest summit. She is a deeply hurt girl because of her father's rejection.
When you are in such condition logic find no place as it is only her heart working, not head. Colonel has not done any bias.
He had asked both Anjali and Aakash to stay put as they are not experienced enough for a rescue mission.
But need to see today's epi. Seems like Aakash is going. Guess Rungta has played some game and only Anjali is staying put. That will obviously hurt her more as then it will become discrimination.