4 week old kitten won't eliminate

Sounds like she’s right on schedule with her growth and activities. You can add a FEW drops of olive oil to her bottle (3 drops or so to a whole bottle) and if she has hard stool, it may help to soften it a bit). You aren’t doing anything wrong, it’s just that hand reared kittens tend to get constipated or diarrhea because they aren’t eating mother’s milk. You can switch her over to goat’s milk (which is what I did with my last kitten) and you won’t have these problems. It’s in the refrigerated milk section of the grocery or in the baking aisle in cans. The canned is condensed so add water 1 to 1 and store in the refrigerator. I’ll post some links for kitten rearing and for help to go potty. She will need to see the vet eventually, for a general checkup and for deworming and shots. I would say anytime now, you can try the wet food/milk gruel mix and see if she likes it. Let her sniff it on your finger and place a small amount on the roof of her mouth to see if she likes the taste. Let her follow your finger back to the plate and see if she will lap it up. It will seem strange to her to have something of substance in her mouth, make sure she doesn’t choke. Keep us posted!
http://www.safehavenforcats.com/newborn.htm
http://messybeast.com/handrear.htm

Helping a kitten to eliminate

Probably not. Sometimes they don’t go everyday. After you feed her, wait a few minutes and try the triangle method, or a damp nubby washcloth gently on her butt. You can also try her in the litterbox (very low she can easily get in and out of) and put plain clay, unscented and NONCLUMPING litter in there and if you get a poop from her put it in the litterbox. You can pee her over the box too and when you place her in there she will smell it. Take her paw and gently scratch the litter with it. It’s amazing how fast cats catch on!

Try putting her butt under a stream of warm water. That may give her extra encouragement.