Bloom is the protective coating put on the egg as it is laid. The egg comes out wet and dries in seconds. Not sure if these funky eggs signal illness; my hen has other, shall we say, psychological issues.
There is a thread somewhere full of weird egg pics just like yours.
What a pretty girl she is! I had never heard of Stargazing before. Thanks for the interesting post. She is lucky to have you to look out for her and love her.