Prayer with Short Socks
Question
and the knee is covered
Answer
Shalom u'vrachah
As a matter of basic law, one must stand for prayer in proper attire, as one who is standing before the King.
However, in a pressing situation, she may pray even when part of the skin is exposed.
Source
Shulchan Aruch, Orach Chaim, siman 91, se'if 1
היתה טלית חגורה על מתניו לכסותו ממתניו ולמטה, אסור להתפלל עד שיכסה לבו; ואם לא כסה את לבו, או שנאנס ואין לו במה יתכסה, הואיל וכסה ערותו והתפלל, יצא. — If a tallit was tied around his waist to cover him from his waist downward, it is forbidden for him to pray until he covers his heart; and if he did not cover his heart, or he was under duress and has nothing with which to cover himself, since he covered his ervah and prayed, he has fulfilled his obligation.
Mishnah Berurah, siman 91, se'if katan 2
שיכסה לבו - והוא הדין כל גופו. — That he cover his heart — and the same applies to his entire body.