How can one smoothly and without risk remove mould stains from a shower stall? I do not want to use any products that contain chlorine!

I do not want to use any products that contain chlorine!
Answers:    Vinegar kills mold. Spray undiluted white distilled vinegar on the mold. Let it sit a few minutes. Spray more vinegar and afterwards scrub. Or you can make a join of vinegar and borax. Apply it to the mold. Let it sit about 30 minutes and later scrub and rinse.

The vinegar smell dissipates as it dries.
Try baking soda.