Update: the fan of the outdoor unit of the airco is blown to pieces and I asked the manufactorer by mail if they can supply me with a new one. Haven't heard from them yet...
And I had time to put on the first two coats of oil to the body and neck. After the first coat I waited for two hours to let it cure and applied the second coat. I waited about 30 minutes and then whiped it all dry. It looked pretty dry already but I did it just prevent any strange blodges or spots. She is starting to shine