If your child is gifted or 2e (gifted + ________, like adhd, an aspie, etc.)... you've PROBABLY got your answer right there. Most gifted kids don't just "accept" an answer, and they challenge almost EVERYTHING (sigh. So many people think that giftedness is something to covet or aspire to, but they don't realize that it's a brain disorder with as many problems associated with it as benefits.)
Some challenge verbally but will do what they're told while running an out and out diatribe/commentary on why they disagree UTTERLY with what they are doing. Others will become little contrary blocks of stone and either argue vehemently or just stand there shooting sparks out of their eyes. Others will MAYBE do what they're told but you can almost here the running commentary in their head. Others just shut down, won't do it, won't talk. Others just MELT DOWN. And, quite frankly, the same kid can react in EACH of those ways depending on either their mood or the situation.
Take "You need to clean your room."
An ODD kid will say no. Not do it. There is absolutely no reasoning with them. They will disagree that the sun is going to rise the next morning if you tell them it will. They are disagreeing to disagree.
A gifted kid will often take issue with your wording, your premise, your tone, how they feel their own ability is suited to the task, the time in which EITHER you or they feel it will take to be done, how said cleaning will affect their idea for how they want to spend that period of time.... and often, all of the above and more. A 2e kid will have all of the above plus other issues going on (aka being overwhelmed, anxiety attacks, emotional meltdown, cognitive dissonance... the list goes on).
The METHODS that you deal with the same RESPONSE "No." are ENTIRELY DIFFERENT.
A gifted kid can be reasoned with TO A POINT. Even if that reasoning is along the lines of "agreeing to disagree as long as x, y, and z are met" ("Because I said so", in it's most complex form, becuase "Because I said so" in it's simple form gets blown off as a ridiculous statement with little to no merit... but agreeing to do certain 'nonsensical' things in order to please someone they love can have merit. I know. Kind of a pain in the tucus. But most gifted kids will take only a certain number or percentage of "Because I said so the long version" before you reach some fairly arbitrary "limit", so it's typically better to see if they'll accept some good reasoning whenever possible. For example; they may ALWAYS accept danger as a viable 'because I said so' no argument or debate is allowed to be brooked until reaching a 'safe' place... but they'll only give you so many "freebies" for personal preference.). A 2e kid, otoh, often needs certain stumbling blocks removed that are triggering anxiety, sensory overload, etc IN ADDITION to being reasoned with.
Gifted/2e kids can "easily" (comparatively) be taught to disagree/argue/debate/question with RESPECT... but you cannot teach them NOT to challenge the premise of almost any concept. It's how their mind's work. It takes several years and lots of repetition and practice and patience to get them to change their APPROACH if not the substance of their challenging of other people.
I am personally VERY unfond of the recent trend of "adding" disorders (like SPD, ODD, etc.) to disorders like ADHD, Giftedness, High Functioning Autism. Gifted kids challenge. ADHD kids have sensory issues and are usually gifted. HFA kids have sensory issues and are usually gifted. It's part and parcel to how our brains receive, sort, and store information, and the different ways that we think. (I'm adhd-c... hence the "we"). By SEPARATING out facets of the disorder, instead of treating holistically, I believe that a lot is "missed", and a lot is ignored, and quite frankly... there's a LOT of extra work that happens that doesn't need to be, and much of it at cross purposes. So right there is my bias. But it's also case in point, since if your daughter is GT, she's going to be challenging. Period. Treating those challenges as if they come from a vacuum is short sighted and silly. Ditto, a child who has been abused will often exhibt the exact same stubborness. But THEIRS comes from broken trust, and while the gifted child may SEEM untrusting, in all reality they have complete and total trust in their parents. It's wasted effort to try and build trust with a GT kid and their parents, and worse, can actually make them start to trust their parents less. It's criminal, however not to work on trustbuilding with abused kids and their trustworthy guardians.
I'm quite leery of any counselor which ADDS disorders onto existing disorders, because that USUALLY means that they don't have a good understanding of the primary disorder.
PERSONALLY... I'd look for a psychologist who SPECIALIZES in gifted kids and their accompanying issues. You will get MASSIVELY different advice, tips/tricks, and treatment plan than if you go with a counselor or psychologist who specializes in neurotypical children, abused children, autistic children, etc.
In the meantime... the BEST gifted resource on the web is Hoagies.
http://www.hoagiesgifted.org/
The Davidson Institute, CTY, & Stanford are also good resources, but Hoagies is hands down the best.