I have a small atrium and from about 12pm through nightfall my master bath gets direct sunlight. And is heated to probably 80-85 degrees inside. I'm looking for an option for shading it.

i was thinking a tree only due to there being plants already in the atrium but if you recommend something like a wood build patio cover I may be interested.

my main issue is I'm not sure how safe/dangerous it would be to plant a tree in this area. The atrium is concreted 2 feet from the house, then graveled 3-4 feet to the outer " brick wall ". Ideal height of the tree would be about 12-14'

any thoughts or advice.?

yes I know it's very overgrown... I'll get to it some time :)