Η ακύρωση της πτήσης δεν με βολεύει καθόλου.

The subject is Η ακύρωση της πτήσης = the cancellation of the flight.

The verb βολεύει is in the 3rd person singular because the subject is a single thing: η ακύρωση (the cancellation).

So the basic structure is:

Η ακύρωση της πτήσης → subject
δεν με βολεύει καθόλου → predicate

Because Greek uses the genitive for the idea of of the flight.

• η πτήση = the flight
• της πτήσης = of the flight

So:

• η ακύρωση = the cancellation
• η ακύρωση της πτήσης = the cancellation of the flight

This is very common in Greek: one noun followed by another noun in the genitive to show possession or relationship.

Because both nouns are definite:

• η ακύρωση = the cancellation
• της πτήσης = of the flight

Greek uses the article very regularly, often more than English does. So where English says the cancellation of the flight, Greek says literally the cancellation of-the flight.

Βολεύει is hard to translate with just one English word. In this sentence it means something like:

• is convenient for
• suits
• works for

So Δεν με βολεύει means:

• It doesn’t suit me
• It isn’t convenient for me
• It doesn’t work for me

In context, the sentence often sounds most natural in English as The cancellation of the flight is very inconvenient for me or The flight cancellation really doesn’t work for me.

Because βολεύω takes a direct object in this kind of sentence.

• με = me (accusative clitic)
• μου = to me / my (genitive clitic)

Greek says:

• με βολεύει = it suits me / it is convenient for me

Even though English uses for me, Greek grammar treats the person as a direct object here.

Because weak object pronouns in Modern Greek normally come before the finite verb.

So:

• με βολεύει = it suits me
• σε βλέπω = I see you
• τον ξέρω = I know him

This is normal clitic placement in Greek. You usually do not say βολεύει με in a sentence like this.

Δεν is the standard word for not before verbs in Modern Greek.

So:

• με βολεύει = it suits me / it works for me
• δεν με βολεύει = it doesn’t suit me / it doesn’t work for me

It comes before the pronoun + verb group:

• δεν με βολεύει
• not με δεν βολεύει

Here καθόλου means at all.

So:

• δεν με βολεύει = it doesn’t suit me
• δεν με βολεύει καθόλου = it doesn’t suit me at all

It strengthens the negation. This is a very common combination in Greek:

• δεν... καθόλου = not... at all

Yes. Greek word order is more flexible than English, although not completely free.

The version you have is very natural:

• Η ακύρωση της πτήσης δεν με βολεύει καθόλου.

But you could also say:

• Δεν με βολεύει καθόλου η ακύρωση της πτήσης.

That version puts more focus on the fact that it doesn’t suit me and leaves the subject until later.

So the meaning stays basically the same, but the emphasis changes.

The dictionary form is βολεύω.

Modern Greek dictionaries usually list verbs in the 1st person singular present form, so:

• βολεύω = dictionary form
• βολεύει = he/she/it suits or it is convenient

In this sentence, the subject is η ακύρωση, so Greek uses βολεύει.

A good pronunciation guide is:

i a-KY-ro-si tis PTI-sis then me vo-LE-vi ka-tho-LOU

More approximately in IPA:

/i aˈcirosi tis ˈptisis ðen me voˈlevi kaθoˈlu/

A few useful notes:

• ακύρωση has the stress on κύ
• πτήσης has the stress on πτή
• βολεύει has the stress on λεύ
• καθόλου has the stress on the last syllable: -λού

Also:

• δ in δεν sounds like th in this
• θ in καθόλου sounds like th in think