Regarding the character "Deb" - I find her to be complex. Tough as nails on the outside, straightforward to the point of bluntness, with language a stevedore would consider cringe worthy. Yet, she has a deep and abiding bond with her family and friends, a wry sense of humor, is quick to admit her mistakes/misjudgments (with a self-deprecating charm), and has the kind of integrity we wish all cops would have.
As to the actress's looks, well Michael C. Hall married her. He, at least, must think she's attractive.