All 7 Uses of

consequence
in
The Screwtape Letters

If he is that sort of man, his pacifism will probably not do us much good, and the Enemy will probably protect him from the usual consequences of belonging to a sect.†
Chpt 7

consequences = results

and I really see no reason why I should try to shield you from the consequences or your inefficiency.
Chpt 13 *

If he must think of the medical side of chastity, feed him the grand lie which we have made the English humans believe, that physical exercise in excess and consequent fatigue are specially favourable to this virtue.†
Chpt 17

consequent = following as a result

In the second place any sexual infatuation whatever, so long as it intends marriage, will be regarded as "love", and "love" will be held to excuse a man from all the guilt, and to protect him from all the consequences, if marrying a heathen, a fool, or a wanton.†
Chpt 18

consequences = results

For as things are, your man has now discovered the dangerous truth that these attacks don't last forever; consequently you cannot use again what is, after all, our best weapon--the belief of ignorant humans, that there is no hope of getting rid of us except by yielding.
Chpt 20

consequently = resultantly (as a result)

Are we to aim at cowardice—or at courage, with consequent pride—or at hatred of the Germans?†
Chpt 29

consequent = following as a result

The danger of inducing cowardice in our patients, therefore, is lest we produce real self-knowledge and self-loathing with consequent repentance and humility.†
Chpt 29

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)
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."