thanks for the hint#(n.b. i,m an EU national)
in that case it is much easier. Although Ireland and UK can really take some time in processing visa. They (UK & Ireland), many atimes dont usually follow or abide to the EU law on freedom of movement of EU citizen and their family member especially when it comes to non Eu spouse. Which state that member states should facilitate the issuance of visa to non eu spouses.
Nevertheless, the will issue her visa but if not you appeal which of course you will win in as much as it is not marriage of convenience