Hey sfara,
I love the song Nude. I used to listen to it on repeat all day for a while. Having said that, I really like your cover of it. The best part of your singing is the style. It was great to listen to a different interpretation of this song. The part at 3:37 is especially nice and, although contrasting to the way Thom sings it, successfully conveys the powerful feeling of the song.
Going back to the beginning of the song, I think that you need to improve on hitting the right notes. Sometimes it deviates off. For example the "and" in "And feel..." at 1:20 and the "any" in "Don't get any..." at the beginning are a little off. This is not really a big issue but it just needs a little more practice. Another improvement would be to sustain the words more at the verse. For example sustain "be" and "missing" in "there'll be something missing" a little longer. This would sound nicer.
Still, overall this is great. I enjoyed listening to you with your nice style and subtle accent.