changing your name after separation or divorce

A few yrs after I had been separated from my daughters dad , I knew there was no chance of us ever getting back together so I decided to take back my maiden name. It was a very hard decision that took alot of thought, weighed the pros and cons. I knew this would bother my daughter who does not have a strong bond with her father and very sadly will likely never have a great relationship but one can only hope things will change. I decided to go ahead and change my name. And after doing this I felt so good about my decision. However lately my daughter has started to ask if she can change her name as well. She just turned 6 and has alot of opinions on alot of stuff !! lol She acts more like a teenager most of the time then a 6 yr old . She really hates that our last name is not the same, she says she is closer to my family then she ever will be to her dads and feels like she should have the last name of her mom , who she lives with and spends 90% of her time with. I keep telling her that someday when she is old enough she can change her name or when she gets married she can take her husbands name, well this is not good enough ..she said that seems so far away and she NEEDS is done now. I do now feel very guilty about changing my name knowing full well she woudl eventually feel this way. I know there are alot of parents/children with different last names and it is not the end of the world, but knowing her dad does nothing for her but bare minimum and even that is a stretch .... it is no wonder she wants a name she can be proud of and a feeling of belonging.