
das Gefühl
feeling
An inner, emotional feeling such as joy, sadness, anger, or fear.
Beim Abschied überkam sie ein Gefühl der Traurigkeit.
At the farewell, she was overcome by a feeling of sadness.
feeling / sense
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feeling
An inner, emotional feeling such as joy, sadness, anger, or fear.
Beim Abschied überkam sie ein Gefühl der Traurigkeit.
At the farewell, she was overcome by a feeling of sadness.

feeling
A hunch, intuition, or vague impression of something.
Ich habe das Gefühl, dass uns jemand beobachtet.
I have the feeling that someone is watching us.

sense
A special sense or talent for something.
Die Innenarchitektin hat ein ausgezeichnetes Gefühl für Farben und Raum.
The interior designer has an excellent sense for colors and space.

feeling / sensation
The ability to perceive physically through the skin; the sense of touch.
Nach der Operation hatte er vorübergehend kein Gefühl im Bein.
After the operation, he temporarily had no feeling in his leg.
The noun 'das Gefühl' (the feeling/sense) is derived directly from the verb 'fühlen' (to feel). This connection helps you understand the basic meaning of inner or outer perception.
Ich fühle eine große Freude, und dieses Gefühl ist wunderbar.
I feel great joy, and this feeling is wonderful.
When 'Gefühl' (feeling) describes a hunch or intuition, it is often followed by a subordinate clause with 'dass' (that) or an infinitive construction with 'zu' (to). The fixed phrase is 'das Gefühl haben, dass/zu ...' (to have the feeling that/to ...).
Ich habe das Gefühl, dass ich das schon einmal erlebt habe.
I have the feeling that I have experienced this before.
To express a talent or sense for something, you use the construction 'ein Gefühl für etwas haben' (to have a sense for something). The thing someone has a sense for is always in the accusative.
Ein guter Musiker hat ein feines Gefühl für den Rhythmus.
A good musician has a fine sense of rhythm.
In an emotional context, 'Gefühl' (feeling) is often combined with verbs such as 'zeigen' (to show), 'verbergen' (to hide), or 'verletzen' (to hurt). The combinations 'ein gutes/schlechtes Gefühl' (a good/bad feeling) are also very common.
Er versucht, seine wahren Gefühle nicht zu zeigen.
He tries not to show his true feelings.
You can recognize the meaning 'Tastsinn' (sense of touch) from the context. It is almost always used in connection with body parts and often in negative sentences to describe a loss of sensation.
Wegen der Kälte hatte sie kein Gefühl mehr in den Fingern.
Because of the cold, she no longer had any feeling in her fingers.
hunch / idea
Gefühl and Ahnung can both express an unfounded expectation or assessment. Gefühl emphasizes the personal inner impression, while Ahnung focuses more on the suspicion that something specific is actually the case or will happen. Use Gefühl for the experience and Ahnung for the suspected fact.

Vor dem Anruf hatte ich das Gefühl, dass etwas nicht stimmte.
Before the call, I had a feeling that something was wrong.
Vor dem Anruf hatte ich die Ahnung, dass etwas nicht stimmte.
Before the call, I had a hunch that something was wrong.