You might be lucky in that it is her puppy coat that has been clipped and she would have, in time lost a lot of that fluff anyway.
I can see that her coat is short at the moment but as it starts to grow, if you comb her back with a metal toothed comb with an elastic band woven through, this will take out a lot of dead coat.
Back in 2006 when we had a hot summer I clipped a puppy (albeit not as short as Lilly) as she wasn't coping with the heat very well, and as the adult coat came through her owner used the banded comb and I now use a coat king when I trim her.