"The woman needs this bag."
Translation:Die Frau braucht diese Tasche.
It's fine, as long as you use the appropriate (feminine) demonstrative determiner before it, as in diese Tasche.
It's best to ask about entire sentences -- it's possible that your mistake is not in one word but in another part of the sentence. For example, if you had use dieses Tasche or diesen Tasche (with a neuter or masculine demonstrative together with a feminine noun).
It's not enough for individual words to be correct; the combination has to be correct as well.
For example, "an" is a good English word and "word" is a good English word, but the combination "an word" is not correct.
What was the exact sentence that you typed?
Did you, perhaps, use an article of the wrong gender, that did not match the noun you wanted to use it with?