Well, it seems like you DD has been sick on and off this month (being on prescription meds) - that is never a good time to make a huge transition, like starting daycare. If you can keep her at home for a little while until she has completely recovered and make a fresh start, that would probably be good.
Also it is not unusual for kids to go trhough an initial "honeymoon" phase where they are doing great for a few days or even weeks and then suddenly start crying or acting up. Usually that also lasts only for a few days or weeks until they finally adjust. And you are right, during this time it is more harmful than helpful to pull them out everytime they cry... that way they will never adjust.
The third point I would like to make is to evalute your care giver. How do they handle your child when she cries or acts up? are they warm, do they give her extra attention? The daycares we have chosen for our DD so far (and we will be making a switch next week due to work reasons) are always prepared to help new children adjust for however long it takes. We were just for an initial visit this week and when my daughter first cried when I left, a teacher went up to her and found something that she wanted to do (read a book). There was another new little one who cried for about an hour after drop off (I watched from the observation room) - here they pulled in another teacher to sit with her until she felt comfortable joining the group.
If you have a GOOD daycare, they will usually do everything in their power to make your little one settle down. If you can observe for a few hours from where your daughter will not see you - that would be a good place to start. Qualified, professional teachers will be very happy to recommendations from you how to soothe your child and will follow your directions.
Transitioning to a new daycare is tough... just hang in there. before you know it she'll be happy and make friends. Good luck!