I think it's perfectly acceptable for you to want to have your child's IQ tested. However, if you do go this route, I have some suggestions that might be worth your consideration. Very early on in my own life, my parents suspected that I was exceptionally bright. They had me tested for the first time when I was 3 months shy of my 4th birthday. I remember taking it, and I just thought it was fun. Here's the thing: they didn't tell me that I was taking an IQ test. Then, after they got the results back and discovered that my score had already qualified me for Mensa, they didn't share my score with me. I highly suggest going that route: just don't tell her that she's taking an IQ test, and do not reveal her score to her. She's allowed to know that she's smart and that she's a special kid, but you don't want your daughter to get caught on the meaning of that number. Honestly, I would avoid telling her her score unless she really requests it once she is far into adulthood.
Raising a gifted child is no easier than growing up as a gifted child. There are many challenges unique to raising gifted children, and the best way for you to do your job as best you can is to really get informed, stay involved with your child's teachers and her schooling, continue to find the right balance in the challenges presented to her, keep her well socialized, and keep supporting and encouraging her natural strengths and interests. This is a dynamic, ever-changing process that does take time and dedication. However, these steps can each do wonders for your child's growth, happiness and development both short term and long term.
Although you will encounter some who suggest otherwise, "gifted" is not at all a bad word. Quite the opposite, it is a blessing that can give your child special opportunities and chances in life. It is a gift. The trick is that you need to be well informed and on top of things. Also remember that her EQ ("emotional quotient" is at least as important as her IQ. Balance is key. Pushing her too hard can be as harmful as not pushing her enough. Appropriate challenges and appropriate stimulation are the best ways to help her to get to succeed through his childhood and to build a foundation in confidence and self-belief that could serve her well through her adulthood.
You might want to contact Mensa to speak with them. They offer professional IQ testing, and they can also provide you with all kinds of information to help you learn more about what you can do as parents of a gifted child. In addition, if your daughter qualifies for Mensa, you could also have the opportunity to engage in social gatherings with other young, gifted members children and their families.
I would love to hear how everything progresses! If you have any other questions, just come back to post! Lots of luck!