I am sure, those men did not reject this anonymous sister marriage proposal, but she rejected those men marriage proposal whitout she realize about it.
As a woman she is in position that receive proposal, not send proposal.
From what I have read in her another thread, I know, they (or at least one man) propose marriage and they told her if she accept this proposal, she should wear hijab and stay at home. Did those men do something wrong ?. No !. They have told her what would happen to her if she get married with one of them. This is very right.
Anybody knows ?, many men were lying when they proposed marriage, they promised many things but after those women accept them, they break their promise. Different than those men who proposed marriage to this anonymous sister and told her frankly and honestly that they want her wear face veil and stop working. That's what Muslim men must do when they propose a marriage, tell frankly and honestly about what they expect from a wife and what would happen in the marriage.
There are some Muslim men in my place who are looking for wives who would wear face veil after married them. Those men always tell it frankly and honestly when they propose a marriage. And if those women answer, do not want to wear face veil, those men never force those women, but they start looking for other women and propose marriage again.
One of my female friend married a man like this. Her husband told her in his marriage proposal, she should wear face veil if she accept him. She accepted him and wear face veil.
My sister in-law friend got marriage proposal from a man like this too, but she rejected this proposal because she didn't want to wear face veil. Later she married another man who follow opinion #1 (see my previous post)
I have heard and read refferences from ulama in my place. They said, women have rigt to accept or not accept marriage proposal because this is decision for life time. However, if they accept a marriage proposal, then they should obey their husbands.
The anonymous sister who start this thread has a right to accept or not accept a marriage proposal. If a man propose marriage to her and tell her she must wear face veil, she can reject this proposal and wait for another man if she doesn't want to wear face veil. However, if accept this marriage proposal, it's means she is agree with what this man has told, and she must qonsequent, wear face veil.