Cross-question heatedly? (5)
I believe the answer is:
grill
'cross-question' is the definition.
(thesaurus)
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for grill that I've seen before include "Cook by radiant heat" , "Cooking device" , "what restaurant has to offer?" , "Framework of metal bars" , "Question closely" .)