It's not counter-racist. It's just plain racist. Counter-racist would be welcoming of all people no matter the colour of their skin. Racism is racism no matter the colour of the people being bigoted or being discriminated against on the basis of their colour (or lack thereof).
As for my personal view - she can shove that attitude right up her bigotted, narrow-minded posterior.
A quick sidetrack - who else here has their cultural heritage hidden by the immigration of family members a few generations back? As Aunt Rocky says, making assumptions makes an ass of you & me! I certainly look white, don't I?