Based on the previous books, I'd say the Wakandan people, the MAs, and Tetu's group probably like her or at least don't dislike her as much as they dislike T'Challa. I elaborate on that below.
Remember all the stuff Tetu mentioned in issue #3? They were all T'Challa related: collaborating with Namor behind the Wakandan's back while Wakanda was at war with Atlantis, leaving Shuri behind (he obviously doesn't know that Shuri told T'Challa to go), and so on. In fact, that collaboration with Namor indirectly led to Namor releasing the Cabal, who ended up destroying Wakanda. It is why, prior to her death, Shuri made T'Challa promise that he'll kill Namor.
As for the destruction during Shuri's reign. If you noticed, every time Wakanda was severely attacked under her reign, Wakanda responded strongly.
-The Desturi started a coup in Wakanda = Shuri orders her forces to eradicate them, which they do.
-Namor attacks Wakanda in AvX, killing many Wakandans = Shuri declares war on Atlantis and orders Atlantis to be wiped off the map, which happens. It's important to note that that in particular was something both the Wakandan people and the majority of the Wakandan government wanted to happen.
In short, it's safe to say that she earned a lot of goodwill from the government and her people at that point. To the point that the Hatute Zeraze were loyally on her side and that the Doras eventually switched to her side, at T'Challa's expense.
Only time a strong response didn't happen was during the Cabal's attack on Wakanda, in part because T'Challa was secretly collaborating with Namor and the illuminati and because T'Challa refused to tell the Wakandan government about the incursions. By the time he did, it was too late: Thanos and the cabal were freed and were destroying worlds, and eventually reached Wakanda, destroying it and damn near killing everyone.