Hi Lorenah, and welcome to The Tortoise Table.
As far as I know, you don't need an Article 10 as long as there is no commercial transaction. Here is the policy that has traditionally been the case:
All Annex A tortoises require an Article 10 licence (A10) before any commercial transaction (sale) can take place. However, there is no requirement for a licence in order to possess an Annex A tortoise, or if you give one away as a gift.
I assume that it would still be the case with a tortoise moving from the UK to the Republic of Ireland (as long as no money changes hands you should be OK), but if anyone knows differently, or that the policy has changed I hope they will come on this thread with more information.
There do seem to be other hurdles, though, involved in bringing a pet into Ireland. Most of the material I read refereed to cats, dogs, ferrets, etc., but not reptiles. It said that if the animal is coming from an EU country then you need an EU pet passport, stamped by a vet (but I don't know where the UK figures into that now, after Brexit.
I've just found this page which might be of some help:
http://www.pettravel.gov.ie/
I found it on Google (but I think it was AI generated so not sure about accuracy):
To import a tortoise into Ireland, you must:
Obtain prior approval from the Department of Agriculture, Food and the Marine (DAFM)
Import the tortoise through a designated port of entry, such as Dublin Airport, Dublin Port, Rosslare Europort, or Shannon Airport
Complete an Advance Notice Portal before bringing the tortoise into Ireland
Apply for an export health certificate (EHC) online
Ensure the tortoise is protected under CITES, as all species of tortoise are endangered
Obtain import licenses and permission from the National Parks and Wildlife Service
I think I would ring the Department of Agriculture, Food and the Marine (DAFM) and speak to them directly about what you need to bring a tortoise into the country. Good luck and let us know how you get on!
Nina