You’ll have time to get your wife’s name registered jointly in utility bills, tenancy agreement etc so get going with this ASAP.
When adding your wife to tenancy agreement ask the Agency/Landlord to register your wife’s name with the PRTB as this can take some time to receive in the post.
See link of what PRTB is:
https://www.rtb.ie
INIS isn’t the fastest of services from the time you apply for the EU1 to the time of them asking for further evidence of activity in the state. When they do ask in writing for further evidence, they’ll give you about a month to do so. Even if the month has gone past I seriously doubt they’ll make a final decision that quickly given the backlog of applications being processed. Obviously whatever evidence you send them make sure it is a Signed For Recorded Delivery.