Not without some reluctance, I'll throw in my two pennyworth on this story
Carrie doesn't live in Davidson County, and her family is unlikely to be directly affected by what the Nashville Metro School District is mandating for its Board Schools. If she liked this blogger's report of his speech to that body, I would presume that she felt that it (or some part of it) touched on something she might see as an issue of principle. Perhaps she sees it as a matter that should be left to parental decisions. Perhaps, as a mother, she might feel that some young children are frightened of wearing, or seeing others wear, masks. Those are only guesses - but my point is that she must have had her reasons, and those might be quite specific. I see no reason to jump to the conclusion that she is anti-mask wearing by adults, or anti-vaccination (Not a few people, on both sides, are extending their interpretation in directions like that - and, yes, I do think that she probably should have realized that they would have done that. But social media can be trap, where a quick, off the cuff action can be pounced on, blown out of proportion, and hammered back to haunt you.)
For me, as for some others who have already posted, the most uncomfortable aspect of this story is not that she presumably has, at least by implication, an opinion on mandatory mask wearing by children, which any of us may or may not agree with (that, of course, would be her right,). More concerning is the fact that the blog she presumably chose to publicly give her "like" to is a highly divisive one. The blogger in question not only thrives on the corrosive "culture war" approach that currently dominates so much of contemporary political and social commentary, he actively amplifies and perpetuates those embittered divisions - often demonizing and ridiculing those who disagree with him. Of course, he is not the only one to do that - but it is undeniable that he is one who prominently does so - and that is not an approach that I would have expected Carrie to honour with a public "like" (whatever her views on a specific issue might be)
There are actually several reasons why I don't believe it to be likely that Carrie would endorse this blog as a whole, or agree in general with his approach or more strident opinions. Her mother and sisters were or are teachers, and I can't believe she would approve of the parts where he appears to be accusing school staff and adminstrators of "child abuse". Several of Carrie's songs, throughout her career, have themes that take a feminist viewpoint against abusive or explioitative relationships, and I can't believe she would approve of his more strident anti-feminist views. She has spoken supportively of same sex marriage rights, and I can't believe she would endorse his mocking and rather apocalyptic fears of this leading to an undermining of society. Carrie may have "liked" a specific view on a speciific issue, but I don't think that should be blown up into a blanket endorsement of what this blog stands for..
In point of fact, it is not clear that she follows this blog regularly. There seems to have been a significant delay between the speech being made and Carrie's posting her "like". That suggests to me that she may not read it regularly, but something , or someone, may have drawn her attention to some aspect of it - in which case the "like" may have been a rather random, spur of the moment decision.
Unfortunately, though, it does seem to have led Carrie into the "culture war" maelstrom. I did a search on hers and the blogger's names together, and a large number of articles were thrown up. Many of these did involve sites associated with the militant "Conservative Influencers", with provocative (an, in my view, exaggerated) headings such as:
Liberal outrage erupts after Carrie Underwood likes...
Cancel Culture Mob Attacks Carrie Underwood For Liking ...
Leftists Lose It at Carrie Underwood for 'Liking'...
WOKE Mob Comes After Carrie Underwood for Liking...
So whether we (or she) like it or not, her simple "like" is currently being "weaponized" by people who sense a political advantage (even if only a temporary one) in mocking their foes and reinforcing the cultural divisions in society. (I am actually rather surprised that Carrie - who has a degree in mass media and communications - did not foresee that something like this was likely to happen).
That said, I don't think it will have a serious effect on her career. It should only "fly" as a hot topic for a very short while, and quickly be replaced by some other story. Even if something of a reputation (deserved or not) does linger around her in some people's minds because of this, her music and entertainment skills, her sincerity and personal charm, will still be more important for most.
I do hope, though, that this does not put her off from using social media. Her own tweets have often been interesting, and the causes she sometimes supports have not generally been matters that lead to bitterness.