nordwestlich
northwest of
Indicates a direction or location that is situated toward the northwest from a specific point.
Das Dorf liegt nordwestlich von Hamburg.
The village is northwest of Hamburg.

northwest / northwestern
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northwest of
Indicates a direction or location that is situated toward the northwest from a specific point.
Das Dorf liegt nordwestlich von Hamburg.
The village is northwest of Hamburg.

The word is made up of the compass directions 'Nord' (north) and 'West' (west). The suffix '-lich' turns it into an indication of direction. This pattern works for all intermediate compass directions, for example 'südöstlich' (southeastern / southeast) and 'nordöstlich' (northeastern / northeast).
Die Vögel fliegen in südwestlicher Richtung.
The birds are flying in a southwesterly direction.
'Nordwestlich' (northwest / northwestern) can be used as an adverb without an ending or as an adjective with an ending before a noun. As an adverb, it describes location; as an adjective, it describes a property of the noun.
Die Stadt liegt nordwestlich der Hauptstadt.
The city is northwest of the capital.
When a position is described relative to another place, 'nordwestlich' (northwest of) is almost always used with the preposition 'von' (of/from).
Unser Hotel befindet sich nordwestlich vom Stadtzentrum.
Our hotel is located northwest of the city center.
western
'westlich' and 'nordwestlich' both describe a location or direction on the map. 'westlich' simply means toward the west or west of a place. 'nordwestlich' is more precise: it is located between north and west. The words can be confused because northwest is also partly west. If only the general direction is important, 'westlich' is often enough. If the location is also clearly toward the north, 'nordwestlich' is more precise.

Nordwestlich der Stadt beginnt ein großes Waldgebiet.
A large forested area begins northwest of the city.
Das Dorf liegt westlich von Berlin.
The village is west of Berlin.