It shouldn't last very long. Very common for the first couple weeks up to a month of a new little one wanting the security of the adult right there with them at all times. What she is doing is transferring the trust she has with her mom to you. Since she is the only one you have it will be easiser because you can spend the extra time with her. Sit down on the floor with her between your legs and put toys where she can reach them but always be able to touch you too. Gradually slide back so that you are both on the floor but the toys are between you. As soon as she feels comfortable she should start playing more on her own instead of needing to be carried although she will always want you right there just in case.

This assumes that mom is not carrying her all the time she has her or holding her till she falls asleep or worse yet co-sleeping since it isn't something that you can do at daycare. Mom needs to make sure that she too is teaching the child to be ok in her own skin and to rely on others less.

This is pretty typical so think twice about terminating because there is a very good chance the next kids you get will be the same or at least to some degree the same.