The Armada had a rough time attempting an invasion of England in 1588.Yes.
I'm not sure how much of that has been verified by the contemporary DNA tests yet.
Long story short, the Spanish were out-manoeuvred and obliged to run northward, up the Channel. To get home, they had to sail round the north of Scotland, and back down the Irish Sea. Poor seamanship, bad weather and other factors saw this subsequent damage far greater than any inflicted in actual battle.
Assuming many of the survivors settled (many surely would have tried to get home?) in Ireland, I'm not sure that's enough to make a significant impact on the genetic record?
More likely, perhaps, the Celtic DNA markers – the Celts were once the largest group all across Europe, vestiges ending up at the edges ...