die Französin
Frenchwoman
A female person who comes from France or has French citizenship.
Meine neue Kollegin ist eine Französin aus Lyon.
My new colleague is a Frenchwoman from Lyon.

Frenchwoman
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Frenchwoman
A female person who comes from France or has French citizenship.
Meine neue Kollegin ist eine Französin aus Lyon.
My new colleague is a Frenchwoman from Lyon.

The ending '-in' shows that it refers to a female person. This pattern is used for many female nationality terms derived from a country, e.g. 'Italien' (Italy) -> 'Italienerin' (Italian woman).
Die Künstlerin ist eine gebürtige Französin.
The artist is a Frenchwoman by birth.
To express a person's nationality, the noun 'Französin' (Frenchwoman) is often used with the verb 'sein' (to be) and an indefinite article. So the structure is: 'Sie ist eine Französin.' (She is a Frenchwoman.)
Die Gewinnerin des Wettbewerbs ist eine Französin.
The winner of the competition is a Frenchwoman.
As a noun that refers to a person, 'Französin' (Frenchwoman) is always capitalized. The corresponding adjective, however, is written in lowercase.
Sie ist Französin und spricht fließend Deutsch.
She is French and speaks fluent German.
French
'französisch' and 'die Französin' are both connected to France, but they belong to different parts of speech. 'französisch' is an adjective and describes, for example, language, food, culture, or a person. 'die Französin' is a noun and means a female person from France. They can be confused because they look similar and often appear in similar topics. After an article like 'die', you need 'Französin' for the person; as a description before a noun, 'französisch' fits.

Meine neue Nachbarin ist Französin und spricht auch sehr gut Deutsch.
My new neighbor is a Frenchwoman and also speaks German very well.
Im Restaurant bestellte Anna ein französisches Dessert.
At the restaurant, Anna ordered a French dessert.