Η απόρριψη της αίτησης δεν είναι το τέλος, θα κάνω νέα αίτηση.

Because the two nouns are doing different jobs.

• της αίτησης means of the application. It is in the genitive case because it depends on η απόρριψη = the rejection.
• αίτηση in θα κάνω νέα αίτηση is the direct object of κάνω and stays in the basic dictionary form here.

So:

• η απόρριψη της αίτησης = the rejection of the application
• θα κάνω νέα αίτηση = I will make / submit a new application

This is a very common Greek pattern:

• η απόφαση της κυβέρνησης = the government’s decision
• η αρχή του βιβλίου = the beginning of the book

της αίτησης is genitive singular.

Greek often uses the genitive where English uses of or an apostrophe:

• η απόρριψη της αίτησης = the rejection of the application
• literally: the rejection of-the application

Here is the breakdown:

• η απόρριψη = the rejection
• της = of the / feminine singular genitive article
• αίτησης = application, in genitive singular

The base form is η αίτηση. In the genitive singular, it becomes της αίτησης.

απόρριψη is a noun meaning rejection.

It comes from the verb απορρίπτω, meaning to reject.

So:

• απορρίπτω = I reject
• απόρριψη = rejection

In this sentence, Η απόρριψη της αίτησης means The rejection of the application.

It is a feminine noun, which is why it takes the feminine article η.

Greek uses the definite article more often than English does.

Here, το τέλος means the end, and that is the natural expression in Greek in this kind of sentence:

• δεν είναι το τέλος = it is not the end

Using the article sounds normal and idiomatic. Greek often says:

• Αυτό είναι το πρόβλημα. = That is the problem.
• Δεν είναι η λύση. = It is not the solution.
• Είναι η αρχή. = It is the beginning.

So το τέλος is not unusual at all; it is exactly what a native speaker would expect here.

Because Greek, like English, often leaves out the article when talking about a/an thing in a general or indefinite way.

• θα κάνω νέα αίτηση = I will make/submit a new application

This means a new application, not the new application.

If you added an article, the meaning would change:

• θα κάνω τη νέα αίτηση would suggest I will do/submit the new application, referring to a specific one already known from context.

So the article is omitted because the speaker means a new one, not a specific previously identified one.

θα marks the future.

So:

• κάνω = I do / I make
• θα κάνω = I will do / I will make

In this sentence:

• θα κάνω νέα αίτηση = I will submit a new application

This is one of the most basic and important Greek structures:

• θα + verb = future meaning

Examples:

• θα πάω = I will go
• θα δω = I will see
• θα γράψω = I will write

Yes. κάνω αίτηση is a very common Greek expression.

Literally, it means I make an application, but in natural English it is often better translated as:

• apply
• submit an application
• file an application

So:

• κάνω αίτηση = apply / submit an application
• θα κάνω νέα αίτηση = I will apply again / I will submit a new application

Greek often uses κάνω in expressions where English uses a more specific verb.

Because δεν is used to negate ordinary statement verbs, while μη(ν) is used mainly with non-indicative forms such as commands, wishes, or certain subordinate structures.

Here, είναι is part of a normal statement:

• δεν είναι = is not

So δεν is the correct negation.

Compare:

• Δεν είναι το τέλος. = It is not the end.
• Μην πας. = Don’t go.

A learner often just needs this practical rule:

• δεν = not, for statements
• μη(ν) = don’t / not, in commands or certain other structures

In this sentence, νέα αίτηση most naturally means a new application, but in context it can also imply another application.

So the idea is:

• the first application was rejected
• the speaker will submit a fresh one

That is why English might translate it as either:

• I will make a new application
• I will submit another application

Both capture the idea well.

Also note:

• νέος / νέα / νέο agrees with the noun in gender, number, and case
• αίτηση is feminine singular, so we get νέα

Greek can join closely related clauses with a comma, especially when the connection is obvious from context.

So this is natural:

• Η απόρριψη της αίτησης δεν είναι το τέλος, θα κάνω νέα αίτηση.

The idea is something like:

• The rejection of the application is not the end; I will submit a new application.

In English, many people would prefer a semicolon or a full stop:

• The rejection of the application is not the end; I will submit a new application.

Greek punctuation can be a little more flexible in this kind of structure than careful formal English punctuation.

A helpful approximation is:

• αίτηση ≈ EH-tee-see
• απόρριψη ≈ a-PO-rree-psee

A few useful notes:

• αί is pronounced like e in bet
• double ρρ does not create a completely different sound for most learners, but it reflects the spelling
• ψη sounds like psee

Stress matters in Greek, so notice where the written accent falls:

• αίτηση
• απόρριψη
• τέλος
• κάνω
• νέα

If you want the whole sentence approximately:

• ee a-PO-rree-psee tees EH-tee-sees den EE-ne to TE-los, tha KA-no NE-a EH-tee-see

Greek word order is more flexible than English word order, but the given version is the most straightforward and natural.

The sentence as written:

• Η απόρριψη της αίτησης δεν είναι το τέλος, θα κάνω νέα αίτηση.

is clear and neutral.

You could move things around for emphasis, but not every change sounds equally natural. For example, Greek often keeps:

• the subject/topic first
• the verb phrase in a normal position
• the new information toward the end

So for a learner, the safest choice is to keep this order.

It is mostly neutral.

The vocabulary is a little administrative because of αίτηση and απόρριψη, but the overall sentence sounds natural in either spoken or written Greek.

• αίτηση is a standard word for an application/request in official contexts
• θα κάνω νέα αίτηση is a normal everyday way to say you will apply again

So the sentence works well in practical real-life situations, especially when talking about paperwork, institutions, permits, programs, or jobs.