Θέλουμε ένα ξενοδοχείο που να είναι κοντά στο αεροδρόμιο, ώστε να μην αγχωθούμε την ημέρα της αναχώρησης.

Because Greek often uses που + να + verb after an indefinite noun when you mean a desired characteristic, not an already identified fact.

So ένα ξενοδοχείο που να είναι κοντά στο αεροδρόμιο means something like:

• a hotel that would be near the airport
• a hotel that is to be near the airport
• more naturally in English, just a hotel that is near the airport

If you said που είναι, it would sound more like you are referring to a hotel whose location is already a factual property, not just a requirement.

Yes. In Modern Greek, the subjunctive is usually marked by the particle να, not by a completely different verb form.

So:

• είναι = is
• να είναι = to be / be in a subjunctive-type clause

With many verbs, especially in the present, the form after να looks the same as the present indicative. The important signal is να.

Να introduces a subjunctive clause. In this sentence, it appears twice:

• που να είναι → describes the kind of hotel wanted
• ώστε να μην αγχωθούμε → expresses purpose or intended result

So να often appears after words or structures meaning things like:

• desire
• possibility
• purpose
• intention
• requirement

It is one of the most common and important particles in Greek.

Στο is the contraction of σε + το.

• σε = in, at, to, near depending on context
• το = the (neuter singular)

So:

• στο αεροδρόμιο = at/to the airport

After κοντά, Greek normally uses σε:

• κοντά σε κάποιον/κάτι = near someone/something

That is why you get:

• κοντά στο αεροδρόμιο = near the airport

Greek uses the definite article much more regularly than English.

So το αεροδρόμιο is simply the normal way to say the airport, and in this sentence it means the relevant airport for the trip. Greek would sound incomplete or unnatural here without the article.

Ώστε να means so that, in order that, or with the result/intention that.

In this sentence:

• ώστε να μην αγχωθούμε = so that we won’t get stressed

It introduces the purpose or intended result of choosing the hotel.

They are often very close in meaning, and in many sentences both are possible.

Very roughly:

• για να = more everyday, straightforward in order to
• ώστε να = often a bit more formal or a bit more result-oriented

So this sentence could also be said with για να:

• ...κοντά στο αεροδρόμιο, για να μην αγχωθούμε...

That would still be perfectly natural.

Because Greek uses μη(ν), not δεν, to negate subjunctive clauses and other non-indicative structures.

So:

• δεν αγχωνόμαστε = we are not getting stressed / we don’t get stressed
  
  • factual statement
• να μην αγχωθούμε = so that we do not get stressed
  
  • subjunctive/purpose clause

A good rule is: after να, use μη(ν).

Αγχωθούμε is:

• 1st person plural = we
• aorist subjunctive
• from αγχώνομαι = I get stressed / I feel stressed

So να μην αγχωθούμε means:

• so that we won’t get stressed
• so that we don’t end up stressed

The form looks passive/middle in shape, which is very common in Greek. Even though it may look passive, the meaning here is not be stressed by someone in a literal passive sense, but simply become stressed.

This is a question of aspect.

• να μην αγχωθούμε uses the aorist, which presents the stress as a single whole event: not to get stressed
• να μην αγχωνόμαστε would use the present, which sounds more like an ongoing or repeated state: not to be stressing / not to keep worrying

Because the sentence refers to a specific moment, την ημέρα της αναχώρησης, the aorist is very natural.

• την ημέρα is accusative singular
• της αναχώρησης is genitive singular

Here is the structure:

• η ημέρα = the day (nominative)
• την ημέρα = the day (accusative)

Greek often uses the accusative in expressions of time:

• την ημέρα της αναχώρησης = on the day of departure

Then:

• της αναχώρησης = of the departure

So the whole phrase literally means the day of the departure.

Because αναχώρηση is a feminine noun, and here it is in the genitive singular after ημέρα.

Base form:

• η αναχώρηση = the departure

Genitive singular:

• της αναχώρησης = of the departure

This is a very common Greek pattern:

• η μέρα της άφιξης = the day of arrival
• η ώρα της συνάντησης = the time of the meeting
• το τέλος της ταινίας = the end of the film

Because Greek verb endings usually already show the subject.

• Θέλουμε = we want
• αγχωθούμε = we get stressed / we become stressed

So Greek often leaves out the subject pronoun εμείς unless it is needed for emphasis, contrast, or clarity.

For example:

• Θέλουμε... = neutral We want...
• Εμείς θέλουμε... = We want..., possibly contrasting with someone else

Yes, absolutely. That would be shorter and very natural.

• Θέλουμε ένα ξενοδοχείο κοντά στο αεροδρόμιο.

The version with που να είναι is a bit more explicit because it spells out the desired characteristic in a relative clause:

• a hotel that would be near the airport

Both are correct; the longer version just gives a slightly fuller structure.

Because ώστε να μην αγχωθούμε την ημέρα της αναχώρησης is a separate subordinate clause expressing purpose/result.

The comma helps separate:

1. the main idea
   Θέλουμε ένα ξενοδοχείο που να είναι κοντά στο αεροδρόμιο
2. the purpose/result
   ώστε να μην αγχωθούμε την ημέρα της αναχώρησης

In written Greek, this punctuation is standard and helps readability.