Hey -
This is an extremely hard situation. I would have thought that by 4 weeks, she might be adjusted. My recommendation is to take a hard look at the daycare and also to review other daycare options. She honestly just may not like THAT daycare. Not having a consistent person to receive the kids in the morning would be a problem for me. I understand the shift issue, but generally, I find that daycares try to provide consistency because they KNOW children like consistency.
Some other things to look for in a daycare:
1. Do they mix the age groups of the children in the morning (babies with toddlers with 3 year olds?). I went to a daycare for a little while that did this and I HATED it. I found that the toddlers were snotty and grubby and hit on the babies and stole their pacifiers and pushed them (which is just how toddlers are, but I didn't want them around my baby who was defenseless). Plus, toddlers are super germy. I know that your child is 3, but if she is mixed in with younger children first thing, she may hate that.
2. What is their schedule. They should be changing activities throughout the day fairly consistently. A good daycare should be able to provide you with a printed schedule for a 3 year old - which includes outside time, art time, story time, etc.
3. How is the facility? Clean? Restrooms clean? (I find that a clean daycare is a reflection of good management).
4. Generally, I find that most daycares have a 3 year old class/program. If your daycare does not have this, it could be contributing to your child being unhappy.
5. I definitely think a child can be unhappy at one daycare and happy at another.
6. One thing you can do (I know you work, but if you can get out at different times of the day, it will be worth it), is go and observe other daycares at different times of the day. What are THEY doing at 9AM, what are THEY doing at 10AM, what are THEY doing at 2PM? Are they consistent with nap times? All of these things play into a child's happiness.
Good luck!
L.