Η νονά ρώτησε πότε ακριβώς θα βαφτίσουν το μωρό, για να κανονίσει το ταξίδι της.

Ρώτησε is the aorist form, 3rd person singular, of ρωτάω / ρωτώ. Here it means asked.

The aorist is commonly used for a single completed action in the past, so Η νονά ρώτησε... means The godmother asked...

Greek often leaves out subject pronouns when they are clear from the verb ending. This is called a pro-drop language.

So ρώτησε already tells you the subject is he/she/it. Since η νονά is already there, there is no need to add αυτή.

Because this is not a direct question. It is an indirect question embedded inside a statement.

• Direct question: Πότε ακριβώς θα βαφτίσουν το μωρό;
• Indirect question in this sentence: Η νονά ρώτησε πότε ακριβώς θα βαφτίσουν το μωρό...

English works the same way: She asked when exactly they would baptize the baby is not written with a question mark either.

Πότε means when, and ακριβώς means exactly.

So πότε ακριβώς means exactly when. It adds the idea that she wanted the precise time or date, not just a vague answer.

Θα βαφτίσουν is a future form meaning they will baptize.

In modern Greek, the future is normally formed with θα plus the appropriate verb form. So:

• θα = future marker
• βαφτίσουν = the form of βαφτίζω used here after θα

So the whole phrase means they will baptize or, more naturally in context, the baby will be baptized.

The subject is not stated explicitly, and that is normal. Greek often uses 3rd person plural when the people involved are understood from context or are not the main focus.

Here they could mean the people arranging or carrying out the baptism, such as the family and priest. The sentence is really focused on the timing of the event, not on naming the exact subject.

This is an aspect difference.

• θα βαφτίσουν presents the baptism as one complete event
• θα βαφτίζουν would suggest something ongoing, repeated, or habitual

Since a baptism is a single event, θα βαφτίσουν is the natural choice.

Μωρό is a neuter noun, so it takes the neuter article το.

Here το μωρό is the direct object of βαφτίσουν, so it means the baby. Greek uses the article here because it is referring to a specific baby already known in the context.

Για να means in order to or so that.

It introduces a purpose clause. In this sentence, it explains why the godmother asked:

• Η νονά ρώτησε...
• για να κανονίσει το ταξίδι της

So she asked in order to arrange her trip.

After να and για να, Greek uses the subjunctive-type verb form rather than an infinitive, because modern Greek does not really have an infinitive like English does.

So:

• για να κανονίσει = in order to arrange
• κανονίσει is from κανονίζω

It is also perfective, which fits the idea of arranging the trip as a complete action.

An important point for English speakers: Greek does not do the same kind of tense backshifting that English often does. Even though the main verb is past, Greek still naturally says για να κανονίσει, not a special past infinitive form.

Της here means her. It is a weak genitive pronoun used to show possession.

So:

• το ταξίδι = the trip
• το ταξίδι της = her trip

Greek commonly puts this possessive pronoun after the noun, unlike English. So the Greek structure is closer to the trip of hers, though the natural English translation is simply her trip.

In this sentence, της most naturally refers to the godmother.

Yes. A very natural alternative would be:

Η νονά ρώτησε πότε ακριβώς θα βαφτιστεί το μωρό, για να κανονίσει το ταξίδι της.

That means The godmother asked exactly when the baby would be baptized, so she could arrange her trip.

The difference is mainly one of perspective:

• θα βαφτίσουν το μωρό = active, focusing on the people doing it
• θα βαφτιστεί το μωρό = passive, focusing on the baby receiving the action

Both are possible; the original sentence just chooses the active wording.