Elon Musk has signaled support for JK Rowling after she challenged Scotland's new hate crime law which could see citizens arrested for addressing a transgender person with the wrong pronouns.

The Harry Potter author and prominent gender critic, who often refuses to use a person's chosen pronouns in her frequent posts on X, formerly Twitter, challenged police to arrest her for her own apparent violations. 

But on Tuesday Police Scotland confirmed that no action would be taken against Rowling, 58, despite thousands of complaints against her. 

She took to X shortly after, pledging to repeat any comment made by a woman in violation of the law so that cops would have to charge her for it too. 

Musk, who has a troubled relationship with his own transgender daughter, replied with a flame emoji in a show of support for the sentiment. 

'If they go after any woman for simply calling a man a man, I'll repeat that woman's words and they can charge us both at once,' Rowling wrote on X.