If your daughter was insecure with an aspect of her appearance, something easily fixed, do you think telling her there's something she can do about it would make her feel more insecure?

My daughter has some serious eyebrows. It’s like a caterpillar fight on her forehead. I know it bothers her because she attempted to shave her eyebrows and ended up looking like Vanilla Ice. I told her we could go get them waxed or pluck like I do. I also told her she could just leave them alone. I know she wants to do it but is scared it will hurt. I don’t want to bring it up again because I don’t want to make her uncomfortable, but I know it bothers her. How do i approach this? She is almost 11 and im not suggesting perfectly waxed adult style eyebrows, I mean a little cleaning up.