Extremely sensitive skin here and I use Baby Bum Mineral 50 every day. It also does come in a stick, although I've personally never tried it...
https://www.sunbum.com/products/baby-bum-spf-50-mineral-sunscreen-face-stick-fragrance-free-0-45-oz
I'm always on the hunt for the "perfect" sunscreen. So far, Baby Bum Mineral 50 and Vanicream SPF 50 are the only brands I've tried that haven't caused me any issues, aside from some shine.
The best sunscreen I've found is the Skin1004 Madagascar Centella Hyalu-Cica Water-Fit Sun Serum SPF50+ PA++++
I have rosacea and sensitive oily skin and this sunscreen doesn't irritate me at all. It also absorbs perfectly invisible, velvety, and creates that "glassy skin" effect without looking greasy or having a white cast.
It's not a stick, but if you don't mind using a liquid sunscreen, then I think you should try it out.
Hi Ahlem! If it is for your face, I would recommend Odacite SPF50 Mineral Drops Sheer Sunscreen. It looks small but when combined with your moisturizer in your hand, 1-2 drops per day goes a long way.