I think that in any closed society - and there are a few if you think about it - there's a good chance of sexual abuse.
Conservative societies tend to have an attitude of shame about sex - which militates against admitting you have been raped or whatever, as the shame falls on you - and they also tend to have an enhanced respect for authority figures.
Imagine you're a young girl in 1920s rural Ireland and the priest rapes you. The chances are no one will believe you. They're more likely to call you a liar. If they do believe you, there's a good chance they'll blame you for being provocative. Because that's how it works. This is common to misogynistic societies going back centuries. I used rural Ireland as an example. But it could as easily be medieval England, Victorian England, rural Pakistan, or 1001 other examples.
Let's be honest - women and girls have been abused for centuries. It's not something just invented by a handful of Muslims in Britain. And the way to end it is to modernise society, elevate the status of women to equal, and make sure there are no dark corners where this shit goes on.