In one sense, Kristi Noem has had a wildly successful rollout of her new book: America can’t stop talking about it.

But all the chatter is not for the reasons Ms. Noem, the conservative governor of South Dakota, might have expected when she finished “No Going Back,” a memoir that recounts her political career. The book appears aimed at raising her profile as a MAGA loyalist while former President Donald J. Trump weighs his choices for running mate. Just a month ago, Ms. Noem had been widely seen as a contender.

Instead of talking up her conservative bona fides, however, Ms. Noem has spent the last week on national television defending a grisly account in the book in which she shoots her dog in a gravel pit. The killing of the dog, a 14-month-old wire-haired pointer named Cricket, has drawn bipartisan criticism and scrutiny.

The book, published on Tuesday, includes a number of other noteworthy details, some of which Ms. Noem has discussed in recent interviews. Here are four takeaways.

Noem has a lot of criticism for other Republicans.

Ms. Noem’s account of her time in office — first as South Dakota’s sole House representative and then as governor — includes many stories that broadly criticize Republicans for their electoral failures, while also targeting figures who have drawn the ire of Mr. Trump.