@Rox111,
It's completely wrong. Despite being hungry, Mary wouldn't eat her broccoli. Despite does not need a preposition.
Despite means "in spite of". "Despite of its tranquility, this is not a dreary place". We just wouldn't say the 'of'. I've never heard anyone say it and I certainly wouldn't.
https://www.dictionary.com/e/in-spite-of-vs-despite/
You could easily have found this, as I have, with a quick search. This is from the online Cambridge Dictionary:
Warning:
We don’t use a that-clause after in spite of or despite. We use
in spite of the fact that or
despite the fact that:
In spite of is written as three separate words.
We never use of with despite:
They enjoyed the rides in spite of the long queues. (or … despite the long queues.)
Not: … inspite the long queues or … despite of the long queues.