de‧spite
1 used to say that something happens or is true even though something else might have prevented it [= in spite of]:

Despite all our efforts to save the school, the authorities decided to close it.
despite the fact (that) 
She went to Spain despite the fact that her doctor had told her to rest.
2
despite yourself
if you do something despite yourself, you do it although you did not intend to:

Liz realized that, despite herself, she cared about Edward.