Если ты обиделся на меня, давай спокойно поговорим.

Because обидеться and обидеть are different verbs.

• обидеть = to offend someone
• обидеться = to get offended / to take offense

So:

• Ты меня обидел = You offended me
• Ты обиделся на меня = You got offended with me / You took offense at me

The -ся changes the meaning a lot here. It makes the verb mean the subject experienced the offense emotionally.

The form обиделся is masculine singular past tense.

Russian past tense verbs agree with gender:

• обиделся = masculine
• обиделась = feminine
• обиделось = neuter
• обиделись = plural

So this sentence is being said to one male person. If you were speaking to a woman, you would say:

Если ты обиделась на меня, давай спокойно поговорим.

Because обидеться normally takes на + accusative to mean to be offended at/by someone or something.

Examples:

• обидеться на друга = to get offended at a friend
• обидеться на слова = to get offended by the words
• обидеться на меня = to get offended at me

This is just the standard pattern of the verb, so it is best learned as a whole:

обидеться на кого? на что?

Меня is in the accusative case.

That is because the preposition на with обидеться на requires the accusative:

• я = I
• меня = me

So:

• на меня = at me / with me / because of me, depending on English wording

For this verb, just remember the full structure:

обидеться на меня, на тебя, на него, на неё...

In Russian, если simply means if, and it can be followed by past, present, or future depending on the situation.

Here, Если ты обиделся на меня... literally uses the past tense, but the idea in English is often closer to:

• If you got offended at me...
• or more naturally, If you’re upset with me...

Russian often uses a past-tense perfective verb like обиделся to describe the event that led to the current emotional state. So it does not necessarily sound as strictly past as it may seem to an English speaker.

They are close, but not identical.

• обиделся focuses on the reaction: got offended / took offense
• обижен describes the state: is offended / is hurt

So:

• Если ты обиделся на меня... = If you took offense at me / if you got upset with me...
• Если ты на меня обижен... = If you are offended with me / if you’re hurt by me...

In this sentence, обиделся sounds very natural because it points to the moment or fact that the person became offended.

Here ты is very helpful and normally expected.

In the past tense, обиделся by itself does not show person clearly. It could mean I got offended, you got offended, or he got offended, depending on context. So the pronoun tells us exactly who the subject is.

Without ты, the sentence would usually sound incomplete unless the context already made the subject very obvious.

This is a very common Russian pattern:

давай + 1st person plural verb = let’s ...

So:

• давай поговорим = let’s talk
• давай посмотрим = let’s see
• давай подождём = let’s wait

It is informal and natural, especially because the sentence already uses ты. If you were speaking more formally or to more than one person, you would use давайте:

Если вы обиделись на меня, давайте спокойно поговорим.

Поговорим is the perfective future of поговорить, and it suggests having a conversation as a complete event.

That fits very well here: the speaker wants to sit down and talk it through.

Compare:

• поговорим = let’s have a talk / let’s talk it out
• говорить = to talk, to speak, often more about the process
• будем говорить = we will be talking, which does not fit this invitation as well

So давай спокойно поговорим sounds natural because it means something like let’s calmly talk this through.

Спокойно is an adverb meaning calmly.

It modifies поговорим, so the idea is:

let’s talk calmly

This is very typical Russian usage:

• спокойно поговорим = talk calmly
• спокойно объясни = explain calmly
• спокойно сядь = sit down calmly

It adds the tone of the conversation: not arguing, not getting emotional, but discussing things in a calm way.

Yes. Russian word order is flexible, although the original order is neutral and natural.

Possible alternatives include:

• Давай спокойно поговорим, если ты обиделся на меня.
• Если ты на меня обиделся, давай спокойно поговорим.

The original:

Если ты обиделся на меня, давай спокойно поговорим.

sounds smooth and neutral. Putting на меня earlier can add a little emphasis to me, but the meaning stays basically the same.

Because Если ты обиделся на меня is a subordinate clause introduced by если, and it is separated from the main clause by a comma.

So the structure is:

• Если ты обиделся на меня = subordinate if clause
• давай спокойно поговорим = main clause

Russian punctuation requires the comma here.

It is informal but polite/neutral in tone.

It is informal because of:

• ты
• давай

But emotionally it sounds calm and constructive, not rude at all. It is the kind of thing you might say to a friend, partner, sibling, or someone you know well.

For formal you, you would say:

Если вы обиделись на меня, давайте спокойно поговорим.