As I said it varies from country to country. Be aware that just like Christianity there are major schisms in Islam. For example Iran is mostly Shiite while Saudi Arabia is almost entirely Sunni. And they are enemies. The United Arab Emirates are considered more open than some other Arab countries but they are strict on what women can and can't do.
A young woman in the West can pursue a university degree, obtain a well paying job, rise to a level of authority within a company or the government. She can buy her own home, buy and drive a car, choose to remain unmarried, have sex outside of marriage if she chooses. Not talking about the rightness or wrongness of her lifestyle, just that in the West she is free to live as she chooses within the bounds of the law. A Muslim woman might be able to do some of that in some Muslim countries, none of that in other Muslim countries. But overall unless she moves to the West and leaves her traditional family behind she will never have the freedom a Western woman takes for granted.