No, women are actually higher than men.
From a spiritual point of view, all living beings are souls, all unique individuals, all equal, full of bliss, full of knowledge, and eternal.
We say Radha Krishna and not Krishna Radha. Radha is a woman and Her name has to be addressed first, even before the Supreme person, Lord Krishna. We also say Sita Ram and not Ram Sita, Laxmi Narayan and not Narayan Laxmi.
By Vedic standards, on invitation cards/letters, the wife’s name must come before the husband.
“I am death, and the origin of all future living beings. Of the females, I am fame, beauty, pleasant speech, memory, intelligence, commitment, and patience.”Lord Krishna, Bhagavad-Gita 10.34