No quiero ponerme la camisa blanca porque la manga está rota.

Because ponerse means to put on when you are talking about putting clothes on yourself.

• poner = to put, to place
• ponerse = to put on oneself, to get dressed in

The -me means myself.

So:

• quiero poner la camisa = I want to place the shirt
• quiero ponerme la camisa = I want to put the shirt on

In Spanish, clothing is often expressed with this reflexive structure:

• Me pongo la camisa = I put on the shirt
• No quiero ponerme la camisa = I don’t want to put on the shirt

With an infinitive, Spanish usually allows the reflexive pronoun to be attached to the end.

So these are both possible:

• No quiero ponerme la camisa
• No me quiero poner la camisa

Both mean the same thing.

This sentence uses ponerme because when a pronoun goes with an infinitive, attaching it is very common and natural.

In Spanish, adjectives usually come after the noun.

So:

• la camisa blanca = the white shirt
• el coche rojo = the red car
• la casa grande = the big house

Putting the adjective before the noun is possible in some cases, but it usually changes the tone or emphasis. For a simple descriptive meaning, camisa blanca is the normal order.

La means the, so it refers to a specific shirt: the white shirt.

Spanish often uses the definite article when the speaker and listener both know which item is being talked about.

Compare:

• No quiero ponerme la camisa blanca = I don’t want to put on the white shirt
• No quiero ponerme una camisa blanca = I don’t want to put on a white shirt / any white shirt

So la suggests a particular white shirt.

Yes, manga has more than one meaning.

Common meanings include:

• manga = sleeve
• manga = mango (the fruit), in some contexts
• manga = comic/manga, borrowed from Japanese

Here, because the sentence is about a shirt, la manga clearly means the sleeve.

Context usually makes the meaning obvious.

A shirt does have two sleeves, but the sentence is talking about one sleeve being torn.

• la manga está rota = the sleeve is torn
• las mangas están rotas = the sleeves are torn

Using the singular tells you that only one sleeve is damaged, or at least that the speaker is focusing on one sleeve.

Spanish uses estar for states or conditions, especially when something is in a certain condition as the result of damage, change, or circumstance.

So:

• está rota = it is torn / it is in a torn condition

Using ser here would sound wrong in normal Spanish, because being torn is not seen as an essential identity; it is a condition.

A few similar examples:

• La puerta está abierta = The door is open
• El vaso está roto = The glass is broken
• La camisa está sucia = The shirt is dirty

Because rota agrees with la manga, which is:

• feminine
• singular

In Spanish, adjectives usually agree in gender and number with the noun they describe.

So:

• la manga rota = the torn sleeve
• el botón roto = the broken button
• las mangas rotas = the torn sleeves

Even though camisa is also feminine, rota here is specifically describing manga, not camisa.

Because Spanish often does not use a separate subject pronoun like it the way English does.

English says:

• it is torn

Spanish usually just says:

• está rota

The subject is understood from the noun:

• la manga está rota = the sleeve is torn

Spanish does not need a dummy pronoun like English it.

Because porque is the conjunction meaning because.

Here are the important differences:

• porque = because
• por qué = why
• el porqué = the reason
• por que = less common combination, used in specific structures

In this sentence, the meaning is cause/reason, so porque is correct:

• No quiero ponerme la camisa blanca porque la manga está rota.

This is a very common Spanish structure.

• quiero = I want
• no quiero = I do not want
• no quiero + infinitive = I do not want to + verb

Examples:

• No quiero comer = I don’t want to eat
• No quiero salir = I don’t want to go out
• No quiero ponerme la camisa = I don’t want to put on the shirt

So the sentence starts with a very standard pattern.

You could say something similar, but it is not the most natural equivalent here.

• ponerme la camisa = put on the shirt
• vestirme = get dressed / dress myself

If you want to talk specifically about putting on one item of clothing, ponerme la camisa is more precise and natural.

Vestirme con la camisa blanca is understandable, but it sounds broader or less direct.

In Spain:

• camisa usually means a shirt, often a button-up shirt
• camiseta usually means a T-shirt

So la camisa blanca normally suggests something more like a shirt than a T-shirt.

That is useful because manga fits naturally with either, but camisa gives a more specific clothing image.

Yes, it is completely natural.

A speaker from Spain would understand it immediately, and the vocabulary and grammar are standard:

• No quiero = natural negative statement
• ponerme = normal for putting on clothes
• la camisa blanca = standard noun + adjective order
• porque = standard connector
• la manga está rota = natural way to describe damage

It sounds like normal everyday Spanish.