I have a "slow" hen. I call her "Slo-Mo". Morgan is a ten-year old Black Cochin, and her movements are those of a tortoise. She will park herself somewhere, anywhere, and as if on a stage "mark", she won't move from that spot for hours. I often get momentarily concerned about her until I get close to her and am able to hear her nearly constant but quiet and contented chatter, "whoop, whoop, whoop".
Even though your hen is normally slow, she should be chatty if feeling well. If she's normally taciturn, she will at the very least move quickly if you tempt her with a favorite treat. A sick hen will be either uninterested or will take more time than usual to notice and react to the treat.
You know this hen better than anyone, and should be able to tell if she's reacting slower than normal to things. If she is, then you can assume she's sick and not just experiencing molt related weakness. Sluggish behavior taken with that poop pic you just put up, would indicate an infection. But I would observe her behavior for a while longer to be sure she's sick and not just still waking up.
