Has your goat come with only one tag? How old is she? All goats born after 01/01/2010 need to be double tagged, before that one tag.
I have so far not had any problems with any of my tags, either in sheep or on the goats (famous last words methinks). I use Shearwells, but not the button tag. Any new tags you are buying now are made to also be EID, so will be bigger, unless you can still get metal type tags (I did have problems with those in my sheep, they keep coming out, but that is probably due to me not pushing hard enough when applying. But they do not rip their ears, just come apart).
However until healed don't do anything, and if AH comes round to complain you should be able to point out the animal welfare implications of the tear etc. After it is healed you can either use the second ear, and if the tear is very bad (I.e. you cannot safely apply another tag) and she should have two, I would keep one safe and have one in the healthy ear. Again on the basis of animal welfare.