Shower in chicken fat

Have a wee problem with the drainage in my shower. When I flush something down in the kitchen (sink, washing machine or dishwasher) the water pops up in the shower. Last night I flushed some chicken fat down there, and guess what? This morning the floor of the shower was filled with orange, oily stuff. Yikes! But I showered anyway, and I must say my feet felt smooth having been covered in the orange fat! And coming home this evening, I discovered that the water doesn't go down at all anymore. It has come to a complete stop. And Putz-peter doesn't come until Saturday. It's a good thing I have a bath tub. And a bad thing that my personal plumber has gone on strike!