(Note: god in the book's title is lower-case, although the cover of my copy fudges this; I'm just quoting the author.)
When I read this book, the line about happy families being all the same popped into my head. Happy families are rare in literature, so when you encounter one like Elly`s in "When god Was a Rabbit", it's a pleasant surprise; however, they don't generate much drama. The conflict then has to come from outside the protagonist, in the forms of her peers, colleagues, etc. Either way, the reader expects the protagonist to struggle with some kind of conflict before coming to terms with it and being transformed as a result.
However, that's not exactly what happens here. All the truly memorable stuff - a kidnapping, many deaths, a murder, etc. - happen to characters other than the protagonist. A childhood trauma occurs early on, but is dropped without examining in depth how that one incident affects how she relates to people outside her supportive family, which is something that should be addressed. There are a few references to how she and her brother are "loners," but that's it. Instead we get her quirky childhood and friendship with another eccentric child - then boom, we're fifteen years later, and even though she's an adult, her past schooling, career and relationships with other people besides the family/a few close friends are never described in any detail. Nor, except for a one night stand, do we see firsthand how Elly's early trauma affects her relationships with adult men - there simply aren't any except the same people who provided support when she was a child. It's true that she's independently wealthy so there no need for her to deal with less than pleasant people unless she chooses to, but this seems a cop out.
Also, several characters are gay, but we never see any discrimination or prejudice from the outer world, which, since the book takes place from the seventies to Y2K, might be expected to appear now and then. We don't even get a reference to AIDS, which certainly affected the gay community in the eighties. It's not that I wanted the characters to suffer - they all seemed like a likeable crew, but it made for a tedious read - and the times drama was dropped in, it came off as sensationalistic.