Washing your face everyday is perfectly fine especially if you need to remove dirt, sweat and other grime from your face.
You could potentially dry out your skin on your face by washing it everyday however I cannot stand to go without washing my face everyday especially if I have been out in the hot sun or am sweating more often.
Even then at other times my face just feels dirty and I need to wash it to feel refreshed.
I also usually wash my face in the morning before work to help wake myself up because I don't feel fully awake most times until I wash my face.
So I've washed my face everyday for a long time and nothing bad has happened so if you want to wash your face everyday it's perfectly okay and you should do so.