It seems that other learners are having the same troubles as me. I've gone through this question four times now. Each time, I write "The woman.", exactly as the correct answer is written. And yet, every time, I'm told that my answer is incorrect. This is a very annoying bug and I hope that it will be fixed soon..
It might help:
'The singular determinate articles (the) are:'<pre>
'Lo - masculine, used before Z, S+consonant, GN, and some rarer consonant clusters.' 'Il - masculine, used before consonants **except** the above.' 'La - feminine, used before all consonants.' 'L' - an elision of the above used before vowels.'</pre>
Yeah, that's the basic idea. Italian just has four more than French.
lo - all masc. nouns starting with s + consonant, gn, pn, ps, x, y, z or a vowel
il - all other masculine nouns
la - all singular fem. nouns
lo and la always elide to l' before vowels
In the plural:
il → i
lo → gli
la → le
l' → depends
Here are some examples:
il cuoco (m)
lo studente (m)
la casa (f)
Don't worry, it falls into second nature after a while. The only really complicated thing is il vs. lo.