I think this tragedy you are currently experiencing will work out for the best when the pus inside this pimple has been lanced. 'Scuse me for the metaphor, but it just seemed to fit.
I took out a quote from your post:
She has somewhat of a history of not coming around if someone offends her, she hasn't spoken to most of her family in years.
This, I think, is where the answer lies, for it's the root of the problem. Your new wife sounds like she's super-sensitive and takes quick offence and/or hyper-reacts to criticism. It's possible that she's been wounded by the emotional relationships in her past, especially from her family. Along you come, and she's possibly put on rose-coloured glasses and maybe thought that marrying you was the emotional 'fix'.
I do not know what your relationship was like before marriage, but it must have gone well for her to consider that you, and your relationship with her, wouldn't be anything less than 'perfect'. For someone to take quick offence is someone that doesn't really know what it is to be loved - and - to forgive the misdeamenors, the failings, of others - failings that we are all too capable of having as human beings. You made an error and she took offence and locked herself down and emotionally away from you. So now she's licking her wounds, but still needing your unconditional love.
I think it's a wounded person that you love, and it will take time to win back her trust - this isn't your fault - it's just the way it is. Explain to her that you have every desire to love her emotionally and practically and to make her feel right at home with you. Tell her that the past, with her family and others, is IN the past and that the life ahead is New. This will take some time, but marriage is a life-committment and one cannot enter into that contract without the knowledge that everything within it isn't always going to be smooth sailing.
And when we do make errors in our relationships it serves to remind us that we are all needful of love and acceptance. In a way you can be her saviour, but she needs to be her own saviour as well.