John Gill Commentary Matthew 28:8

"And they departed quickly from the tomb with fear and great joy, and ran to bring his disciples word." — Matthew 28:8 (ASV)

And they departed quickly from the sepulchre
Or "they went out from it", as it may be rendered, and as it is in (Mark 16:8) , which shows, that they went into the sepulchre upon the invitation of the angel, and saw the place where the Lord lay; and here it was the angel gave them their instructions, and errand to the disciples; which as soon as they received, they quitted the sepulchre in all haste, partly in obedience to the angel's orders, and partly through surprise and fear; for Mark says, "they fled from the sepulchre", (Mark 16:8) , as persons terrified and affrighted: and it is added here,

with fear and great joy :
a mixture of both these; with fear and dread, because of the vision they had seen, and with joy at the news of Christ's resurrection; and yet in this their faith might not be so confirmed, as to have no doubt about it: they might fear the body was taken away, and removed to some other place, and that this they had seen might be a deception and a delusion. However, between both joy and fear, they set out,

and did run to bring his disciples word ;
as Mary Magdalene ran to Peter, (John 20:2) , nor is running unusual for women, or unbecoming them on certain occasions; see (Genesis 24:20Genesis 24:28) (29:12) . Their fright, as well as their joy, and their regard to the angel's order, might cause them to run, and make the quicker dispatch.