noun
[noncount] :a desire to harm, anger, or defeat another person especially because you feel that you have been treated wrongly in some way
in spite of
without being prevented by (something) :despite - used to say that something happens or is true even though there is something that might prevent it from happening or being true
in spite of yourself
even though you do not want to or expect to
verb
spites; spited; spiting
[+ obj] :to deliberately annoy, upset, or hurt (someone)
cut off your nose to spite your face