unschlüssig
undecided
Not able to make a decision; hesitant and indecisive.
Sie stand unschlüssig vor dem Regal und wusste nicht, welches Buch sie kaufen sollte.
She stood undecided in front of the shelf and did not know which book she should buy.

undecided / inconclusive
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undecided
Not able to make a decision; hesitant and indecisive.
Sie stand unschlüssig vor dem Regal und wusste nicht, welches Buch sie kaufen sollte.
She stood undecided in front of the shelf and did not know which book she should buy.

'Unschlüssig' consists of the negation 'un-' and 'schlüssig' (conclusive / coherent). 'Schlüssig' derives from 'der Schluss' (conclusion). Therefore, 'unschlüssig' can mean that a person has not yet come to a conclusion (a decision), or that an argumentation does not allow for a logical conclusion.
Ich bin noch unschlüssig, welches Auto ich kaufen soll.
I am still undecided about which car I should buy.
The meaning depends on the subject. If 'unschlüssig' refers to a person, it means 'unentschlossen' (undecided). If it refers to something like an argumentation, a plan, or a theory, it means 'nicht logisch' (not logical) or 'widersprüchlich' (contradictory).
Der Kunde war unschlüssig, ob er das rote oder das blaue Hemd nehmen sollte.
The customer was undecided about whether he should take the red or the blue shirt.
When a person is undecided, a subordinate clause often follows that expresses the open question. Typical patterns are 'unschlüssig sein, ob ...' (to be undecided whether ...), '..., was ...' (... what ...), or '..., wie ...' (... how ...).
Er war unschlüssig, ob er das Jobangebot annehmen sollte.
He was undecided about whether he should accept the job offer.
To describe the state of indecision, 'unschlüssig' is often combined with verbs such as 'sein' (to be), 'wirken' (to seem), 'bleiben' (to remain), or 'dastehen' (to stand there).
Sie wirkte unschlüssig und bat um mehr Bedenkzeit.
She seemed undecided and asked for more time to think.
The meaning 'nicht folgerichtig' (not logically consistent) or 'nicht logisch' (not logical) is rare. It is used almost exclusively in formal, academic, or technical contexts to evaluate arguments or lines of reasoning.
Das Gutachten wurde als unschlüssig kritisiert, da wichtige Daten fehlten.
The expert report was criticized as inconclusive because important data was missing.
uncertain / insecure
'unsicher' and 'unschlüssig' can both describe that someone does not clearly know what they should do. 'unschlüssig' fits especially when it is about a decision: you are wavering between options. 'unsicher' is broader. It can mean that someone has doubts, shows little self-confidence, or seems nervous. If you only want to say that someone has not decided yet, 'unschlüssig' is more precise. If it is also about fear, doubt, or a lack of certainty, 'unsicher' sounds more natural.

Er ist noch unschlüssig, ob er die blaue oder die schwarze Jacke kaufen soll.
He is still undecided about whether to buy the blue jacket or the black one.
Vor dem Gespräch mit dem Chef wirkte Max sehr unsicher.
Before the conversation with the boss, Max seemed very insecure.