Well, the island is not very deep, not enough pressure to kill her if tons of ice crushing her could not, and the cold is not even close to the freeze she survived before, BUT even if it does not kill her, I could buy her ending up in hibernation due to the cold.
She could be down there alive, but dormant, for thousands of years for all we know.
Honestly, if/when (could be 2712 AD.) she resurfaced she would make her presence know, and fast. Maybe not her going on a rampage, but when about 100,000+ adult aliens show up somewhere, or heaven forbid she starts laying eggs for NEW queens, and the next thing you know you got hives everywhere, and billion of aliens, ala Dark Horse.
I have a feeling if any alien can regenerate the Queen would be #1 on the list. The egg sack could probably regenerate, and fast too.