Do what you feel! Your child is still a baby (imo). They need to know you will be there whenever and for whatever reason! She is not always going to be hanging on your shirttail.
It makes me sad that my 3 1/2 and 2 year old are always wanting to be held. They have each other to play with. But they will come up (quite often) and crawl in my lap and just sit or lay for a few minutes. They then give me kisses and run away. It’s sad and a joy. They know I’m there when needed.
I had to send my kids to a babysitter. We are working very hard for me to be home, but right now it’s not feasible. BUT my kids know that I will come get them.
Attachment Parenting is a great way to teach your children independence. Serously.