Oh, *sealeggy*. We see you. You're standing there with a sleepy, droopy-tailed baby chick who eats fine but has apparently decided that foraging is overrated. And now you're spiraling just a little. We get it. That's not a chicken, that's a tiny feathered coin flip between "she's just quirky" and "quiet is not a good sign in a bird who should be pecking at everything." You want to know if you should panic, and the honest answer is: maybe a little, but not yet.
Let's start with what we know. Your chick eats and sleeps, but sleeps a lot during midday, isn't interested in foraging, and has a droopy tail at four weeks old. The tail droop is the detail that deserves a second look. A healthy chick's tail should point up like a little exclamation mark. Droopy could mean she's tired, she's cold, or something is brewing internally, like coccidiosis, which hits young birds hard and often shows up as quiet lethargy without obvious visual symptoms. Sleeping during the day is not normal chick behavior. Chicks power-nap, sure, but they should bounce up to investigate every stray crumb or scurry. If she's ignoring the world, your instincts are right to prick up.
As for breed or age: you guessed four weeks, and the photo suggests you're in the ballpark. Easter Eggers are mixed-breed sweethearts who lay colored eggs, but at this age, feather patterns and leg color are your best clue. An English hen? That's not a breed, it's a vague category. Your chick's single comb and yellow legs lean toward a common hatchery mix, probably an Easter Egger or a production-type bird. But honestly, the breed question is the least urgent thing here. You can name her Gertrude after you know she's healthy.
Here's what we'd tell you if you came to us, worried and holding a quiet chick: separate her from the flock if she's with others. Give her a warm, quiet spot, 90-95°F for a four-week-old, and offer electrolyte water in a shallow dish. Watch if she's pooping: normal droppings are firm and dark with a white cap; any blood or watery mess is a red flag. If she doesn't perk up within 24 hours of warmth and rest, a vet or a fecal test at a feed store is your next move. You're not being dramatic. You're being the person who notices something off when nobody else would. That's not fear, that's good chicken keeping. Trust your gut, check her tail, and don't let a quiet chick stay quiet for too long.