All 3 Uses

consequence
in
Exit West
(Edited)

Perhaps because she did not, until Saeed's conception two decades later, get pregnant, and assumed therefore she could not, she was able to have sex with abandon, without, that is, thought of consequences or the distractions of child-rearing.
p. 13.9 *

consequences = unintended effects
They had breakfast at a cafe, coffee and some bread with butter and jam, and she spoke, but not of her cousin, and Saeed seemed very present, comfortable being there on that unusual morning, with her not talking of what was most of consequence, and she felt things change between them, become more solid, in a way.
p. 32.9

consequence = importance
The agent shrugged as though it was of no consequence to him,
p. 103.6 *

Definitions:

(1) (consequence as in: a direct consequence of)
a result of something (often an undesired side effect)
(2) (consequence as in: of little consequence)
importance or relevance
(3) (meaning too rare to warrant focus)
In classic literature, consequential may refer to someone with too much feeling of self-importance as when Dickens wrote "Because he's a proud, haughty, consequential, turned-up-nosed peacock."

Self-consequence was used in a similar manner, but is more easily understood by modern readers since important is one of the modern senses of consequence.

Another classic sense of consequent that is similar to importance or significance refers to "material wealth or prominence" as when Jane Austen wrote: "They had each had money, but their marriages had made a material difference in their degree of consequence."