alt Hacker NewsThe current consensus is not that Hittite is Indo-European, it's that Anatolian languages (including Hittite) are related to Indo-European, both stemming from proto-Indo-Anatolian.
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I don't think that's the consensus. Even if it were the consensus, the I doubt the people making the argument would disagree that the Anatolian languages are closely related to the Indo-European languages. The grammar is classic Indo-European, with 7-9 cases depending on the period. The vocabulary has a lot of cognates with Indo-European languages. The only things that really distinguish Hittite from Indo-European languages are the system of enclitics and grammatical gender based on animacy rather than the usual masculine/feminine/neuter.
That's not the consensus and even if it were it's largely a pointless semantic argument.
I actually work in this field, so I can encourage you to do some further reading and get to grips with the terminology. "Indo-European" remains among experts the most popular way to refer to the entire language family, Anatolian and non-Anatolian. Terms like "Nuclear IE" and "Core IE" are often employed to distinguish the non-Anatolian languages.
"Indo-Anatolian" for the higher-level family is a term that some may use here and there, but no expert would ever make a "well, acktually..." remark as you just did to those in a discussion, professional or layman, using "Indo-European"