It's actually the other way around, the objection to the use of singular 'them/they' as a gender indeterminate pronoun is a relatively recent shift apparently originating from American English. It is a form which was otherwise well-established:

http://en.wikipedia.org/wiki/Singular_they#Generic_they

(There are example quotes in the link from Shakespeare, Austen, Twain, and Bernard-Shaw)

I was comparing against Indian English, but point noted.

Ah, I wasn't meaning to tell you what the usage is in your country, just trying to make the narrow point about American English.

As an aside, do you mind if I ask, is there a narrative in India about protecting the Indian dialect of English, like you might get in Britain about vulgur Americanization, or in America about pretentious Britishisms?

No there isn't a 'protect Indian English' narrative here.

Not all people belong to the categories "Male" and "Female".

Luckily you won't be fired for this post, but be warned for the future.

I'm all for diversity, but I like my pronouns as they are, thank you.