Well. Just using the word woke, and in quotation marks no less, makes your views known.
In common with many on MN I don't think you know what woke actually means.
The serious answer is that Ireland has undergone massive social change within our lifetimes - divorce was only legalised less than 30 years ago, but since then equal marriage and abortion have also been legalised. All of these changes happened by referendum which means they are supported by the majority in society. The stranglehold of the church is also reducing and the cultural (if not structural) changes in that regard are incredible since I was growing up in the 80s.
Of course, not everyone has moved with the times and there remains a traditional element in society.
In the whole, the population is supportive of women (smaller wage gap and more women in power than the UK), people from other cultures and LGBT people. Huge strides have been made but obviously no country or society is perfect and there's still plenty of work to do.
But yes, transpeople are largely accepted - since we all know that's what you mean.
I don't know why I bothered with a considered post in truth.