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Learning guitar is quite daunting and takes time to get to where it sounds like a musical instrument. A week is nothing in the grand scheme of things. Having fat fingers really isn’t the worse thing in the world in the realm of guitar playing…lots of excellent guitar players have fat fingers ! However, as a beginner, the best thing you can do is give yourself the correct tools to work with your fat fingers. Classical guitars have wider necks, so the strings are farther apart. Seagull makes wide neck guitars as well if you don’t want to go to a classical. Use light gauge strings so as to require the minimal pressure to fret the note. Technique is also important ….get to the tips of your fingers. Lower your thumb on the back of the neck, get your palm real close to the bottom of the neck ( allows maximum curl in your fingers ) and make sure you fret the string just under your nail. As you progress, the callous will build up and it won’t be as large as the tip of your finger. Go to YouTube and find work arounds…plenty of info there . Good luck !