I would consider Armenians white. There are many looks to white people. Armenians are in the darker range of white, generally having darker shades of skin, hair, and eyes than the lighter range of white people.
However, Armenia was the first Christian nation in the world and has a history inseparable from that of Europe, as well as being considered a European country, so yes, I would count Armenians white.
Kim Kardashian, by the way, is only half Armenian. Her dad was of full Armenian descent, and her mom is of Northwestern European descent.