Can the book be considered rascist?

[Estel the Descender]

I am yet to find a Non-white man doing a noble act

Actually, the Woses, the men of the Druadan forest helped the Rohirrim during the War of the Ring. Based on the way they are described, they resembled people of either Polynesian or African descent. Furthermore, their leader rebukes Theoden indirectly of the original Rohirrim progroms of the Woses.

In return for the help they gave, King Elessar forbade anyone from persecuting these people. The Woses would fit the description of non-whites being very noble.

Furthermore, the High Elves were dark-haired (with the exception of the house of Finarfin and the Vanyar who are yellow-haired): Arwen Undomiel was dark-haired, i.e., not nordic. And the hobbits are supposed to be 'brown' in skin colour.