Women definitely compete with other women. And other women notice.

Women typically rank themselves instinctively when at a social gathering. Men don't. We compete in other ways.

All the nonsense spouted by feminists about the male gaze and men driving female beauty standards is absolute nonsense. Most men think in terms of sexual silhouettes; tits and ass, small waist etc. It is women who demolish other women in detail. Men only notice the basics.