So today I climb uptop my car to put on a canucks antenna flag (i'm a bandwangener shoot me

) and I notice a flock of birds decided to use the roof of my car as a toilet. I reckon the bird shit has been there for 2-3 days and my car has been expose to sunlight. I blasted the shit off however there is still a milky white residue left on the roof, I try quick detailer and turtle bug/tar remover spray wax. Didn't work.... I didn't fully wash the car becuase i just did that few days ago, I'm trying to not wash my car so often and create unneccesary swirl marks.
Did the bird shit already do damage to the clearcoat? What can i do? Now that I clean it up as best as I can, am I save to just let it be until the next week when I wash my car or is that milky residue going to continue eating into the clearcoat?
I fucking hate birds
EDIT: this is on a black car if it makes any difference