El director de la escuela quiere hablar con la profesora después de la reunión.

Because Spanish nouns have grammatical gender, and the article usually matches the noun.

• el director = the male director / headteacher / principal
• la profesora = the female teacher

In this sentence, the people are specifically male and female, so the forms match their sex as well as the noun gender.

If the director were a woman, you would usually say la directora.
If the teacher were a man, you would say el profesor.

Del is the contraction of de + el only.

• de + el = del
• de + la = de la

So:

• de la escuela = of/from the school
• del colegio = of/from the school if the noun were masculine, because colegio is masculine

Since escuela is feminine, you must say de la escuela.

This is a very common Spanish structure:

• querer + infinitive

It means to want to do something.

So:

• quiere = he/she wants
• hablar = to speak / to talk

Together, quiere hablar means wants to speak.

This works like:

• quiero comer = I want to eat
• quieren salir = they want to go out

The second verb stays in the infinitive.

Spanish often leaves out subject pronouns because the verb ending already shows who the subject is.

• quiere can mean he wants, she wants, or you (formal) want

In this sentence, el director de la escuela already tells you who the subject is, so él is unnecessary.

Including él would usually sound repetitive unless you want emphasis or contrast.

In Spanish, hablar con is the normal way to say to speak with / to talk to someone.

• hablar con la profesora = to speak with the teacher / to talk to the teacher

You may also see hablar a alguien, but hablar con is much more natural when two people are having a conversation.

So in this sentence, hablar con la profesora is exactly what you would expect.

Because después normally needs de before a noun.

• después de la reunión = after the meeting
• después de clase = after class
• después de comer = after eating

So después de is the fixed pattern here.

You can use después by itself only when what comes after is already understood:

• Primero comen y después hablan. = First they eat and then they talk.

It describes el director.

The structure is:

• El director de la escuela = The director of the school
• quiere hablar con la profesora = wants to speak with the teacher
• después de la reunión = after the meeting

So de la escuela belongs with director, not with profesora.

Yes. Spanish word order is flexible, although the original version is completely natural.

For example, you could also say:

• Después de la reunión, el director de la escuela quiere hablar con la profesora.

This puts the time expression first for emphasis: After the meeting, the school director wants to speak with the teacher.

But the original order is very standard and neutral.

Because the stress falls on the last syllable: reu-nión.

Spanish spelling rules say that words ending in n, s, or a vowel are normally stressed on the second-to-last syllable unless there is a written accent. Since reunión is stressed on the last syllable and ends in n, it needs the accent mark.

So the accent tells you the correct stress.

Yes, in a school context director usually refers to the person in charge of the school.

Depending on the variety of English, you might translate it as:

• principal
• headteacher
• headmaster
• school director

The exact English choice depends on region and context, but the Spanish word director is perfectly normal here.

Sometimes yes, but they are not always identical in every context.

In Spain:

• escuela is a general word for school
• colegio is also very common, especially for primary education or specific types of schools

So el director de la escuela and el director del colegio can both be possible, but the nuance may depend on the type of institution.

For a learner, the important point is that escuela is correct and natural.

Not always exactly, though both can mean teacher.

• profesor / profesora is a general and very common word for teacher, especially in secondary school, university, and often more broadly
• maestro / maestra is also teacher, but it can sound more associated with primary education in many contexts

In this sentence, la profesora is completely natural and probably the safest general choice.