sichtlich
visibly
Clearly recognizable or obvious. Used to describe an emotion or state that can be seen in someone.
Nach der guten Nachricht war sie sichtlich erleichtert.
After the good news, she was visibly relieved.

visibly
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visibly
Clearly recognizable or obvious. Used to describe an emotion or state that can be seen in someone.
Nach der guten Nachricht war sie sichtlich erleichtert.
After the good news, she was visibly relieved.

The adverb 'sichtlich' (visibly) is derived from the noun 'die Sicht' (view/sight), which is related to the verb 'sehen' (to see). So it literally means 'in such a way that one can see it' or 'visible'.
Der Redner war sichtlich nervös, als er auf die Bühne ging.
The speaker was visibly nervous when he went onto the stage.
'Sichtlich' (visibly) is almost always used to describe an emotion or state that is recognizable to others. Common combinations are: to be visibly relieved, pleased, proud, annoyed, or surprised.
Die Eltern waren sichtlich stolz auf die Leistung ihrer Tochter.
The parents were visibly proud of their daughter's achievement.
As an adverb, 'sichtlich' (visibly) typically comes directly before the adjective or participle it describes. It emphasizes that the state is clearly recognizable from the outside.
Nach der langen Wanderung war die Gruppe sichtlich erschöpft.
After the long hike, the group was visibly exhausted.
clear / clearly
'deutlich' and 'sichtlich' both describe that something is clearly recognizable. 'deutlich' is very general: you can hear a voice clearly, read a text clearly, or clearly recognize a difference. 'sichtlich' is used mainly for feelings or states that you can see in a person. So it fits better with words like 'müde' (tired), 'nervös' (nervous), 'froh' (happy), or 'erleichtert' (relieved). Practical tip: when it is about clear perception or a clear difference, 'deutlich' fits. When you can see someone's state in their face or behavior, 'sichtlich' sounds more natural.

Nach der langen Fahrt war Tom sichtlich müde.
After the long drive, Tom was visibly tired.
Beim Termin erklärt die Lehrerin die Aufgabe deutlich.
At the appointment, the teacher explains the task clearly.