After giving her the bear pelts, Temba will become the Dragonborn's friend and leaves an inheritance if she dies.
Her personality can be described as abrasive. If married, she makes it known that she dislikes Breezehome.
At Lakeview Manor, if the Dragonborn has adopted children, when asking Temba how they are, she will comment rather sarcastically how they are fine despite having to fend off many types of forest creatures from wolves to Frostbite Spiders. She will then make a comment that shows she disapproves of living outside of a city. Whether this is the same for Heljarchen Hall and Windstad Manor is unknown.
The name "Temba Wide-Arm" is a reference to the Star Trek: The Next Generation episode Darmok, deriving from a phrase uttered in the episode: "Temba, his arms wide."
She tells the Player that the bear problem has forced her to "scour" Skyrim for "untouched trees", and yet there are dozens within sight of Ivarstead. In fact, it is more difficult to find trees which have been damaged by bears.
Temba can be married after selling her some Firewood, likely saving you time (Or gold). The Quest Grin and Bear It can still be accomplished after marriage.
She is a potential hostage in a rescue mission given by Florentius Baenius. It is possible (having been observed on PS3) that when located, the Master Vampire that supposedly has taken her hostage is on his knees with his hands bound behind his back, instead of Temba. When rescued, she might say "My love! I knew you'd come for me!" even if she has not been married or even been asked about marriage (in fact, the only previous interaction in this individual case being the "Collect 10 bear pelts for Temba Wide-Arm" quest). She may also look down at the corpse of the Master Vampire and say "I'm going to find whoever did this!". An interesting woman indeed.