Is it possible to survive in the USA if you are 5'4" and skinny?

I am 5'4" and only 55 kg. Even in my own country (India) where the average male height is about 5'6" I am always treated like a weakling and like a child. In the USA the average male height is 5'9" so almost 95 percent of men will be taller and bigger than me. I have to go to the USA (New York State) this fall for my master's degree. I feel like no one would be able to take such a small person seriously.

Is it possible to survive in the USA if you are 54 and skinny?
Is it possible to survive in the USA if you are 5'4" and skinny?
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