Mine lives in the fridge and looks terrible (if you don't know what it is😉). It separates and has grayish fluid on the top, but when I stir it up it smells fermented in a nice way and as soon as I feed it it's happy and bubbly. I only feed it when I'm going to make bread about every 2 weeks (we are not big bread eaters) and it lives quite happily in the fridge between feeds.
BZB, the SD bread is much healthier than yeast based bread.