The phrase "a deep anger" is grammatically correct and can be used in written English.
It is often used to describe a strong or intense feeling of anger. Example: Sarah could feel a deep anger rising within her as she listened to the unfair accusations being thrown at her.
I can't hide to you that I feel a deep anger.
'There is a deep anger here against the government for not providing security for the common people,' he said.
Jesse harbors a deep anger at Fink, whose financial advice caused Jesse's father to sink the family savings into building houses just before the big bust.
"As I try to comfort the families, I also try to contain my anger; I can't hide to you that I feel a deep anger.
His comment, accompanied by a vigorous slashing motion, spoke to a deep anger toward Obama and a fascinating generational schism among black leaders.
A deep anger brought him to Ras Lanuf; his father had been a political detainee at Abu Slim prison in Tripoli, killed along with more than a thousand other inmates by security forces in 1996.
They have also pointed to a deeper anger about the shape of Spain's economy and democracy.
That's true, but there's a deeper anger at work: anger toward the United States and its war against a traditional Bolivian crop, coca.
Ms. Griffen suggested that the battle over Internet use in libraries arose in part from a deeper anger over broader changes in society.
While his deputy prime minister was symbolically lynched, Howard provoked a deeper anger among gun owners by wearing a bulletproof vest under his jacket to address a heated meeting in Sale, Victoria.
That suggests a deeper anger, beyond the ideological division between Islamists and secularists.
