Vocabulary

Uninflammatory is an adjective.The word elicit is a verb.

The definition of uninflammatory is to not be at a dangerous or a trouble-causing distance.
The sentence from the text is, "As I swung onto the avenue behind her, there seemed to be a discreet, uninflammatory distance between us."
My context clue is that flammatory means to blow up in any form, to cause trouble. and uninflammatory must mean the opposite due to its prefix. So that mean, that he meant he was not in close enough to the woman to cause harm or trouble in any way.
Its antonym could be to be in a threatening position or too close into another's personal space.
Its synonym could be to be at a safe distance from another, enough to feel safe and not endangered from harm. Not too close to a person enought to cross "the line".
My original sentence is: I got near the intimidating lion in an inflammatory distance.