This is the 10754th most frequent German word.
rote
"Rote" in German means "red" (feminine or plural form of "rot").
Here, 'rote' is the accusative singular feminine form of the adjective 'rot', matching the noun 'Blume' (flower).
Die rote Blume steht auf dem Tisch.
The red flower is on the table.
In this sentence, 'rote' modifies the noun 'Jacke', showing a feminine accusative case.
Ich habe eine rote Jacke gekauft.
I bought a red jacket.
'Rote' here changes to 'roten' (masculine dative singular form) due to 'Stift' being used in a prepositional phrase requiring dative case.