Re: Females - Polygamy. Their only choice?
Not that this proves anything but its counter to the female you depicted. For every example, there is a counterexample.
I have 2 aunts who have careers. One runs an NGO, and another is a teacher. Both in Pakistan. Neither married.
One could never find a suitable match. The guys were generally uneducated and brutal in her opinion. She wanted a career, and it never agreed with any family.
The other was engaged, but they found out the guy was cheating on her already. He ran off to India, after the engagement broke. She never found anyone else who was educated and chaste and loyal.
Both are fully 100% happy they are single, and that they did not accept the rishtaas they got. They probably would love to have kids, but they live with their brothers and help their bhabis take care of their kids.
But they wouldn't risk marrying someone unsuitable to have their own kids. They'd rather live their own life.
Message being - everyone is different and for everyone circumstances are different. Some girls get nice rishtaas. Others don't. A lot of it has to do with luck, and your own biradary and social connections. And even then, girls end up with worthless guys, and vice versa.
So you can't really make any judgement that an unmarried woman is unhappy. And you certainly can't say she is automatically public property. A single woman knows how to live her life to the fullest, and make up for having no family.
Single women often adopt as well, if they feel they want to raise another human.
Interestingly, both of my single aunts work primarily with children. They kid that they don't need anymore, since their hands are already full.