Again, be careful with generalities. There is nothing in the LDS Church that systemically sponsors or approves of abuse. LDS Bishops are lay ministers. The calling is typically six years, and there is no pay involved - not even a stipend. Bishops will typically spend 30-50 hours per week for their calling. This is their own time - they still maintain their jobs, and their family responsibilities.
Nobody claims the LDS Church is perfect. It's not. But I grew up in a church with a pastor that earned two to three times the average household income of those in the congregation. We would go out to his home for activities, and we were always so in awe of how beautiful/luxurious it was - a home he paid for from the tithes he collected from his congregation. This same pastor was sued about ten years ago for ignoring sexual abuse by one of his deacons. The man was raping four of his own daughters over the course of nearly a decade. All of the young women approached this pastor about the abuse at one time or another. His counsel to them was to stop wearing anything revealing around their homes, so as to stop tempting and arousing their father. The bottom line is church people are usually not counselors/therapists. An effective leader - in church, business, politics, or whatever - is someone who understands his limitations and weaknesses.
omegagal is right in that LDS Bishops should refer cases of abuse to professionals. But that is what they are supposed to do. That is what the Church instructs them to do. Unfortunately, it's not a perfect system, and some Bishops are better/more intuitive than others.
With respect to omegagal, I would argue that her experience is not the norm in the LDS Church. Unfortunately, any experience like hers is too many. I've known others that have gone through similar experiences, so I know it happens. But I also know of many, many more that have great experiences with their Bishops.
Sorry, omegagal - I hope you don't mind me providing a different perspective. I don't want to discount anything you've been through - it sounds awful. But I also don't think it would be fair to broad brush 13 million members, and probably 20,000 Bishops, based on one person's experience.