I do hope you are able to overcome this and enjoy your new little baby grandchild.
I am certain this baby will bring so much joy to your life, as any grandparent will tell you, so it would be such a shame if your anxiety stops you getting the most out of this wonderful stage of your life.
Yes of course you will worry when the little one is unwell, just as we all did with our own children, but as others have said, the baby is the parents’ responsibility, so that should help a bit with any anxious thoughts.
It really is the best feeling ever, to see your own child holding their child.