Except there would be no access without authorisation - Microsoft Ireland Operations Ltd owns the computers and thus has the authorisation to access the data, and it says as much in the Azure terms and conditions.
Regardless of which way you cut it, no US court is going to allow the extradition of a US judge who has issued a legitimate and valid court order in his jurisdiction - the fact that his court order requires someone to potentially breach another countries laws is not in his circle of concern, and you cannot work around jurisdictions in such a manner.
The fact of the matter is that the company should not have placed itself in a situation where it comes under conflicting jurisdictions when it may be faced with either having to refuse a legitimate court order or break a countries laws. That is a conundrum the companies legal team should have been considering from the moment the company came under multiple jurisdictions.