Did the women immediately tell the disciples?

Yes, they immediately ran to tell the disciples.

And they departed quickly from the sepulchre with fear and great joy; and did run to bring his disciples word. Matthew 28:8

And they remembered his words, And returned from the sepulchre, and told all these things unto the eleven, and to all the rest. Luke 24:8-9

No, they told no one since they were afraid.

And they went out quickly, and fled from the sepulchre; for they trembled and were amazed: neither said they any thing to any man; for they were afraid. Mark 16:8