I never killed an animal in my life, don't feel I would feel to good about it, but I don't have a problem with it, if anything, it's a sport and lifestyle I would like to pick up one day, but still, I wouldn't like the killing part.
That said, I don't have a problem with this, what she has done is legal and should be allowed in any part of the world, the goat isn't natural to that area, it's an invasive species that numbers need to be kept in order.
It helps the local economy, since this is costing her thousands, I wouldn't be surprised if she isn't spending into the double figures for the whole trip and she is likely doing this all year in different parts of the world.
If she is a proper hunter, she will skin and prepare the goat herself, likely giving the meat to the butcher for the final cutting, am not sure of the food import laws, but am going to assume she will have to eat most of it here, she likely will share some of the meat with her group, the butcher and land owner as gifts.
The same thing happens in safaries, a lot of the meat is donated to the local village. Yes she may keep the head as a trophy.
Shes connecting with nature then most city dwellers will ever do, while some fat slobs running their mouths off on twitter who will be visiting the supermarket for the next ready made meal to nuke in a microwave, she is going out there, spending a entire day in the rain, cold and crap, getting her own food and eating it.
Sharing it online, well, that's fine too, that's her life style, if you don't like it, don't follow or look at her. I wouldn't had known about her or what she did if it wasn't for the news story.
Don't like something you see on TV, just turn it off.