Mira watched the huge mob of people turn into a chaotic dogfight with a slight smile on her face, but she was also using this opportunity to analyze her fellow disciples. She was also going to intervene and deal with anyone she thought wasn't worthy of entering the Sect as she had no intention of competing with those she felt had no place standing on the same ground as her.
But it seems her worries were unfounded. Most of the women here had the mindset of someone who wanted to give their all to fulfill their potential.
One might wonder how Mira was able to determine this with just a few glances, and she wouldn't be able to give a satisfactory answer to that question other than intuition. She could tell that the girls here wanted to enter the Sect so they could grow stronger just by the look in their eyes when they fought the other participants.