Hi, S.!
That "stage" that everyone is talking about is called the "Nine Year Change" and it happens to all children (and it does not require counseling). And I disagree with doing anything that puts too much focus on her physical being (like makeovers). Do you really want her to think that THAT is what is important?
Rudolf Steiner, the founder of the Waldorf School, stated, "In the ninth year, the child really experiences a complete transformation of its being, which indicates an important transformation of its soul-life and its bodily-physical experiences."
There is a wonderful article about this change, written by Rahima Baldwin Dancy, and I recommend that you google it, by plugging in "nine year change waldorf" in the search. It will greatly help you - and her - if you understand what it is she is going through, and why it's happening.
But, please, know that your daughter will be fine, (and so will you!) she just needs your patience and understanding through this.
If my daughter talks about how pretty another girl is, I always say thoughtfully, "Hmm. Yes she does look pretty. I wonder if she is pretty on the inside...." Just my way of reminding her that what is inside of people is more important than how they look. Remember Forrest Gump! Pretty is as pretty does! :)
Your daughter is now old enough to take some responsibility for her schedule. Discuss it with her, and come up with a written plan for getting homework done and still being able to do the fun things. At this age, our children no longer believe we know everything. Let her know that you don't - tell her you need her help in figuring out a plan that will satisfy both of you, and still allow enough time to get done what needs to be accomplished. Let her know you value her input. (You may very well already do these things, but since I don't know you, I'm throwing them out there!)
Don't be afraid to compliment her whenever you can - just make sure they are sincere, and not all focused on physical appearance. "I like the way you took your time doing _____. That shows great ______." (diligence/patience/maturity/attention to detail - whatever you want to use to fill in the blank) Or "I'm so proud of the way you did what needed to be done without anyone asking you to. That shows great initiative! That's a wonderful quality!" Or "That was so kind of you to help that little girl with that. You are such a caring person. I love how you are!"
What I do with my children is tell them what their "gifts" are. They love hearing it, and take it to heart, thereby embracing that gift and making it truly a part of them (self-fulfilling prophecy). For instance my daughter is very dramatic, and when something doesn't go her way, it's like the world is ending. But it only lasts a couple minutes, and then she says, "Well, it's okay, Mom. Because ______" So I tell her how special is that gift of always finding the bright side of things - not many people can do that. She also has the gift of being able to make people laugh. I'm sure your daughter would love to know what special gifts she has. (A very nice book, by the way, is The Twelve Gifts of Birth.) And she may argue with you, and deny that she has any gifts, and you can just smile gently and say (almost like you're only half aware she is listening), "Ahh, (name), you have no idea, yet, how special you are." And then go on to something else. By not stressing anything more than that, it makes it kind of mysterious and thought provoking, and that will get her to wonder about it much more than if you just kept talking about it.
Last thing - I remember reading Rebecca of Sunnybrook Farm when I was her age. I don't remember much about the book, other than the part where Rebecca noticed that though her teacher's face wasn't pretty, she seemed very pretty because she had such a neat appearance - clean and neat, hair brushed, etc. That's the one part that has always stayed with me. Maybe it would make an impression on her, as well.
Sorry for the long response. I hope some of it helps, and you take the time to google that article I mentioned. And above everything else, remember, this, too, shall pass!
Blessings to you and your daughter.
J.