Kathyayini (also known as Katyayani) means dressed in red.

Katyayani is a demonstration or aparition of the Demigod Durga, also known as Parvati (Shiva's wife).

She is worshiped as the Demigod who if you make vow of fasting, would give you the husband you have wished and prayed for.

The fasting, called Kätyäyané-vrata is made for a whole month, offering such things as sandal, flowers, incense, etc.

"During the month of Märgaçérña, every day early in the morning the young daughters of the cowherds (gopis) would take one another’s hands and, singing of Krishna’s transcendental qualities, go to the Yamunä (Jamuna) to bathe. Desiring to obtain Krishna as their husband, they would then worship the goddess Kätyäyané with incense, flowers and other items".

Each day

It means "dressed in red" because red in India is related to marriage, and most of the women get married in red saris, gopi dresses, punjabis, etc.