Here it is, my first baby banana

Sprouted after exactly one month, on the 6th of may. It's very fragile, I hope it will survive. I keep it inside my home in a little unheated greenhouse on- or near the central heating and next to the window. Do I have to keep it away from direct sunlight (will it burn from sun?), the air is moist so there are little drops of water on the baby.
