Blinky frost - my poor Mulberry Tree

 Anyone who has been reading my blog for a while will know how much I have hankered after a Mulberry tree!  Now that I have two decent sized specimens what happens?  the hugest frosts you ever saw - look at the buds on my best tree...completely frosted off.  Every bud that has had leaves is now black,  There are still a few buds not yet burst and I have hopes that they will be OK.   Does anyone know if they will come away again? or is this the end of my tree?