Half of the non muslim have objection over the hijab of muslim women because in accordance to their thinking, they are always being forced to put it on. Whether their men or religion but it is never a choice made by them.
Where their religion has only obliged it as it has obliged other things. And every religion has obligations and if one doesn’t follow his/her religion, they will be punished.
So the punish for not wearing hijab and not considering it as a part of their religion, must not be given the name of oppression.
Hijab is never a choice made by them but it is their Lord’s command which they are fulfilling considering it their duty as a good/practising follower of their religion (and not only muslim) because:
Hijab isn’t a part of Islam only. It has a lot more to do with other religions as well and it has been proved by some of the below mentioned verses from the Holy books of different religions. But first,
Tell your wives and your daughters and the women of the believers to draw their cloaks (veils) all over their bodies That will be better, that they should be known (as free respectable women) so as not to be annoyed (molested or insulted)…” (Quran 33:59)
Also it has been mentioned,
show their adornments beyond what [it is acceptable] to reveal; they should let their cloaks cover their bosoms and not reveal their adornments except to their husbands, their fathers…[and other male members of the household]” [24:31].
God made you women , so that you shall lower your gaze , do not look at men , keep your Feet close cover you hear and should not disclose the garment , which should conceal with the veil”
[Rig Veda Book 8 Hymn 33 Mantra 19-20]
Corinthians 11:5, says that “Every woman who prays or prophesies with her head uncovered dishonours her head, for that is one and the same as if her head were shaved.”
In Genesis we read that, And Rafaqheh raised his eyes and saw Isaac who has landed his camel. She asked his servant: ”who is the man in the desert who comes to meet us?”
”He is my lord.”, answered the servant. Then Rafaqheh covered herself.