I think you are totally wrong! It is both a feminist analysis and maybe also liberal western analysis. I suspect I've been engaged in women's issues for far longer than yourself - and I therefore don't feel the need to have any lessons in what consitutes a. 'female centred' analysis.
Of course, though, we live not only as individual women, but also within the context of a wider society and culture. France, for example, bans such overt symbols of religion because its constitution decares that all citizens are equal, and that French society is secular, not religious. What people do in the privacy of their own life is their choice within defined legal contexts; but public facing life demands a set of shared values without which a society can become unstable.
If a woman wants to commit her life to Christ, or to any other religion, then she takes vows and becomes a Nun - whereby she covers her head and secludes herself to some degree or other from society. But in a secular society women are not compelled to wear religious garments or to seclude or separate themselves. Whereas in religious/ Islamic societies those societies declare that all women must effectively be 'nuns', whether they like it, or choose it, or not.