RE: "He made it very clear to Nivedita that white people were hated by the Indians to very core of their beings"

That appears to be somewhat of a loose generalization.

I visited India only 20 years after Independence; and, my wife being an Indian, I lived with the people...I didn't stay in hotels.

I never got the slightest inkling of any hostility towards me as a 'white man' (Gora Sahib). As a matter of fact, quite the opposite was true...the Indians that I met were gracious, welcoming and most hospitable...

Sure, there were certain radicals who hated the Raj and 'white people' intensely; but, we will find those 'types' within any society at any given time...

Quote from Swamiji:

Talk of the Westerners? They have given me food, shelter, friendship, protection even the most orthodox Christians! What do our people do when any of their priests go to India? You do not touch them even, they are MLECHCHHAS! No man, no nation, my son, can hate others and live; India's doom was sealed the very day they invented the word MLECHCHHA and stopped from communion with others. Take care how you foster that idea. It is good to talk glibly about the Vedanta, but how hard to carry out even its least precepts!

From: [Letter to Alasinga Perumal]
WASHINGTON 27th October, 1894

Dear Brother Tom,

As always very interesting comments.

I must apologize. I cannot find the exact quote as I reflected it. It seems that Swami used the words as follows to Nivedita:

"Yet the difficulties are many. You cannot form any idea of the misery, the superstition, and the slavery that are here. You will be in the midst of a mass of half naked men and women with quaint ideas of castes and isolation, shunning the white skin through fear or hatred and hated by them intensely. On the other hand, you will be looked upon by the white as a crank and every one of your movements will be watched with suspicion." July 1897

Location: New Bern, Nc

Yes, ignorance & backwardness will be found everywhere.
Happy Mother's Day to you!