Granted, it is not fun to have a child angry at you; being glared at and accused of being mean or unfair. All the while, all of the years of hard work and sacrifice and late nights are running through your head and screaming, "How dare you call me mean? Do you know what I have given up for you? Do you know how I have poured out my life to give you the childhood I didn't have? You want to know what's unfair? Let's look at how many things we have done that I WANTED TO DO since you arrived..."
The point is, while it is not fun, you can tolerate it. You can resist the urge to overexplain every parental decision until your child sees your point of view. That is probably not going to happen, since your child is still A CHILD. Try to rest in the fact that you did what you believed was best, and that accepting NO for an answer is a necessary life skill; as is processing disappointment and unmet expectations. The important lesson here is, you can not get what you wanted, or not agree with someone you love, AND YOU WILL STILL BE OKAY. That is the core fear with which children struggle. They just don't have the life experience to know it yet.
So hang in there. Try to resist the compulsion to fix it. This too shall pass.