Welcome to the QB and how exciting it is to hear you are making your first quilt! It is totally up to you whether to take out the work where the pucker is or not. As mentioned by others after washing it may or may not be noticable.
For now when basting I have gone to the glue method which fits my quilting needs perfectly. There are a number of videos on YouTube that are great tutorials. Using Elmer's Washable School Glue. It is a perfect fit for me.
Right now I am working on an Apple Core Quilt that is curves on all sides. As careful as I can be I am afraid I may end up with some puckers in it. Again welcome to the QB. I hope to see a great deal of you here.