I'd speculate that any bumps the package was subjected to along the journey would be more likely to make a difference than the X-ray machine.
It's generally agreed that X-ray machines (like they use in airports) don't make any difference these days. There's many accounts of frequent flyers subjecting their watches to X-rays quite often while still keeping very accurate time.
It probably just needs to be serviced
You could always
have the watch degaussed to be sure.
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