Lütfen darılma, sadece şaka yapıyorum.

Here, darılma means something like don’t be offended, don’t take it badly, or don’t get upset with me.

The verb darılmak is often used when someone feels hurt, slighted, or mildly offended by what another person said or did. It is usually softer and more personal than simple anger.

So darılma is not exactly don’t be angry in a strong sense. It is more like:

• don’t take offense
• don’t be hurt
• don’t get upset with me

Yes. In this sentence, -ma is the negative imperative ending for you singular.

The verb is darılmak.
To make a negative command to one person, Turkish often uses:

• verb stem + -ma / -me

So:

• darıl- = verb stem
• darılma = don’t be offended / don’t get upset

This is a command, but with lütfen it becomes softer and more polite.

Compare:

• Gelme. = Don’t come.
• Üzülme. = Don’t be sad.
• Darılma. = Don’t be offended.

It behaves like an intransitive verb and means to become offended / to take offense / to get upset with someone.

That means the subject is the person who feels offended.

So:

• Ben darıldım. = I got offended / I took offense.
• O bana darıldı. = He/She got offended with me.

A very useful pattern is:

• birine darılmak = to be offended with someone / to get upset with someone

For example:

• Sana darıldım. = I’m upset with you.

Lütfen means please. It is not grammatically necessary, but it makes the sentence gentler and more polite.

Without lütfen, darılma can still be fine, especially between friends, but it may sound more direct:

• Darılma, sadece şaka yapıyorum.

With lütfen, it sounds softer and more considerate:

• Lütfen darılma, sadece şaka yapıyorum.

So lütfen helps reduce the force of the imperative.

In Turkish, şaka yapmak is a very common expression meaning to joke or to make a joke.

It is made of:

• şaka = joke
• yapmak = to do / to make

So literally it is something like I am doing a joke, but naturally it means I’m joking.

This kind of noun + yapmak structure is very common in Turkish.

Examples:

• spor yapmak = to do sports / exercise
• kahvaltı yapmak = to have breakfast
• şaka yapmak = to joke

Yapıyorum is in the present continuous form, often used for what someone is doing right now.

It breaks down like this:

• yap- = do / make
• -ıyor- = present continuous marker
• -um = I

So:

• yapıyorum = I am doing / I’m making

In this sentence:

• sadece şaka yapıyorum = I’m just joking

Turkish present continuous is very common for actions happening now, and also for what someone is currently saying or doing in the conversation.

Turkish often leaves out subject pronouns because the verb endings already show the person.

In this sentence:

• darılma is understood as a command to you singular
• yapıyorum clearly means I am doing

So Turkish does not need:

• sen for you
• ben for I

You could add them for emphasis, but normally you would not.

For example:

• Ben sadece şaka yapıyorum. = I’m just joking.
  This sounds more emphatic, like I’m just joking.

Sadece means only or just.

So:

• sadece şaka yapıyorum = I’m just joking

A common alternative is yalnız, which can also mean only / just in many contexts:

• Yalnız şaka yapıyorum.

But in modern everyday Turkish, sadece is often the clearer and more neutral choice here.

Be careful, though: yalnız can also mean alone, so sadece is often easier for learners.

Yes, you may hear şaka ediyorum, and it can mean I’m joking too. But şaka yapmak is usually the more common and natural everyday expression.

So for a learner, şaka yapıyorum is a very safe and standard choice.

You might think of it this way:

• şaka yapıyorum = very common, natural
• şaka ediyorum = possible, but less basic and less common in everyday speech

You would usually use darılmayın instead of darılma.

So:

• Lütfen darılmayın, sadece şaka yapıyorum.

This can mean:

• Please don’t be offended, I’m just joking.
  addressed to you all
• or the same sentence said politely to one person using formal you

This is the usual singular/plural/formal contrast:

• darılma = informal singular
• darılmayın = plural or polite/formal

Yes, it is very natural and idiomatic.

It sounds like something you would say after teasing someone or saying something that might sound rude:

• Lütfen darılma, sadece şaka yapıyorum.

It has a friendly, reassuring tone. The speaker is trying to calm the listener and explain that no insult was intended.

A very similar alternative would be:

• Lütfen alınma, sadece şaka yapıyorum.

Here alınmak also means to take offense, and it is another very common verb in this kind of situation.

That is a very common question.

• kızma = don’t get angry
• darılma = don’t be offended / don’t get hurt / don’t take it badly

So kızmak is more about anger, while darılmak is more about hurt feelings or taking something personally.

Compare:

• Bana kızma. = Don’t be angry with me.
• Bana darılma. = Don’t be offended with me / don’t be upset with me.

In your sentence, darılma fits very well because the speaker is saying they were only joking and hopes the other person did not take it personally.