Oh, I can totally sympathize with you!
I had got the same thing about two months ago - it was horrible. I wanted to have my hair dyed golden blonde, and it turned out ORANGE, just like you. But I didn't only have highlights, but my whole hair, and with a tanned skintone I totally looked like a carrot. It was HORRIBLE.
I ran to the drugstore right away and my mom put in a package of brown, a bit darker than my natural color. It turned out okay - no one noticed I had dyed it, but it was dryer and I still wanted it blonde.
So I decided to cough up a lot of cash and go to the best hairdresser I knew, and they immediantly understood, and gave me a whole lot of golden highlights so the entity was blonde. It turned out absolutely great! (I did have to do one or two of Frederic Fekkai mask-treatments myself because it was dry, but allright.)
Anyways, they said the other hairdresser that had dyed my hair orange didn't check the color inbetween. He just washed it out when it was time - but you're supposed to check it, and if you have natural brown hair with warm undertones, it should work into your hair longer.
I hope you'll finally get what you want sweety!