Well, I wasn't familiar with Lilly Allen, and so to explore what our own Lili meant by saying that Lilly was "trashy," I did a YouTube search. Here are some vids of Ms. Allen and it shows what Her Grace meant. Although her music is quite good just the same.
A lot of her other songs are similar: low-life concepts, dysfunctional relationships, foul language, but beautifully done.
I don't know if it's because she's English, though.