The placeholder text in the title input box here reads:
What's your Islam question? Be specific.
Is that sentence grammatically correct? Islam being a noun.
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This makes compound nouns out of the pair. Neither is an adjective.
This use of attributive nouns actually distinguishes English from many Romance languages. For example, in Spanish, you could not say What’s your Islam question? Rather, you would have to say What's your question about Islam?
In modern Romance, because case markers no longer exist on nouns, we normally use some preposition to separate the two nouns instead:
Although it’s far less common than in English, even in Spanish nouns can occasionally function attributively to modify another noun:
In Latin, the word for the noun Islam would be marked in what’s called the genitive case to mark it for attribute use, as in Islamus > Islami. You could also sometimes use actual adjectives like Islamicus, or even prepositions like de or super with nominative forms as prevailed in modern Romance.
Noun1 + noun2 is usually understood as “the noun2 associated with noun1”. This differs semantically from noun1 about noun2.
Often, this can be very similar but there is a difference. The noun1 + noun2 gives a stronger bond, with “noun1” being the exclusive focus and/or subject.
Thus, “What's your Islam question?” is correct but (a) not idiomatic, (b) different from the more usual “What is your question about Islam?” and I think the latter is what is intended.
Thus an Islam question might be "Suni or Shi'ite - who follows the Prophet?" But a question about Islam might be "In islam, are there any circumstances in which one may eat non-halal food?"
The beer news = the news associated with beer. For example “The price of beer increases.”
 The news about beer = The news that concerns beer. For example “A shortage of hops means that beer production will fall.” -> This is really “Hop news” that concerns beer.