Den skrynkliga skjortan fick mig att ta fram strykjärnet direkt.

This is because Swedish often uses double definiteness with a definite noun that has an adjective in front of it.

So you get:

• den = the
• skrynkliga = wrinkled
• skjortan = the shirt

Together: den skrynkliga skjortan = the wrinkled shirt

Why all three parts?

• den shows definiteness before the adjective
• the adjective takes the definite form: skrynkliga
• the noun also takes the definite ending: skjortan

This pattern is very common in Swedish:

• den röda bilen = the red car
• det stora huset = the big house
• de gamla böckerna = the old books

So den skrynkliga skjortan is the normal correct form.

Because the adjective is modifying a definite noun.

The basic adjective is skrynklig = wrinkled, creased.

But adjectives in Swedish change form depending on the noun. In the definite form, adjectives usually take -a:

• en skrynklig skjorta = a wrinkled shirt
• den skrynkliga skjortan = the wrinkled shirt

So here, skrynkliga is not plural. It is the definite form of the adjective.

This -a ending is used very often in definite noun phrases, regardless of gender:

• den lilla boken = the little book
• det lilla huset = the little house

Fick is the past tense of få, which often means get, but in this sentence it has a causative meaning: made, got, or caused.

So:

• få någon att göra något = to get someone to do something / make someone do something

Here:

• fick mig att ta fram strykjärnet
  = made me take out the iron
  = got me to take out the iron

This is a very common Swedish pattern:

• Det fick mig att le. = It made me smile.
• Hon fick honom att ändra sig. = She got him to change his mind.

So fick does not mean simple possession here. It expresses a reaction or cause.

This is the standard structure after få when it means make/get someone to do something:

• få + object + att + infinitive

So:

• fick = made/got
• mig = me
• att ta fram = to take out

Full pattern:

• Den skrynkliga skjortan fick mig att ta fram strykjärnet direkt.
• Literally: The wrinkled shirt got me to take out the iron immediately.

Notice that Swedish uses mig here because it is the object form of jag:

• jag = I
• mig = me

Just like in English, you need the object form after the verb:

• It made me... not
• It made I...

Ta fram is a very common Swedish verb phrase, and here it means take out, bring out, or get out.

Examples:

• ta fram en bok = take out a book
• ta fram mobilen = get out your phone
• ta fram strykjärnet = take out the iron

The basic verb ta means take, and fram often adds the idea of bringing something forward, out, or into use.

So in this sentence, it means the wrinkled shirt made the speaker immediately get the iron out.

Strykjärn is a t-word noun (neuter), so:

• ett strykjärn = an iron
• strykjärnet = the iron

The sentence uses the definite form strykjärnet, probably because it refers to the specific iron the speaker would naturally use. In English, we also often say the iron in this kind of situation.

So:

• ta fram strykjärnet = take out the iron

This sounds natural when the object is understood from the situation.

Direkt is an adverb meaning immediately, right away, or directly.

In this sentence it comes at the end:

• ...ta fram strykjärnet direkt

That placement is very natural in Swedish. Adverbs like this are often placed late in the sentence, especially when they describe the whole action.

You could think of it as:

• The wrinkled shirt made me take out the iron right away.

Swedish word order is somewhat flexible with adverbs, but the end position here sounds very normal and idiomatic.

The sentence follows normal Swedish main-clause word order:

• Den skrynkliga skjortan = subject
• fick = finite verb
• mig = object
• att ta fram strykjärnet = infinitive phrase
• direkt = adverb

So the structure is:

Subject + verb + object + infinitive phrase + adverb

Also, Swedish main clauses follow the V2 rule, which means the finite verb usually comes in the second position. Here the subject comes first, so the verb naturally comes right after it:

• Den skrynkliga skjortan fick...

It can be either, depending on context.

• made me often sounds stronger, as if something forced the reaction
• got me to can sound a bit softer or more indirect

In this sentence, both work:

• The wrinkled shirt made me take out the iron immediately.
• The wrinkled shirt got me to take out the iron right away.

In natural English, made me may sound slightly more direct and idiomatic here, but grammatically the Swedish structure covers both ideas well.

Not only clothes, but it is very commonly used for fabric, paper, or anything that has wrinkles or creases.

Examples:

• en skrynklig skjorta = a wrinkled shirt
• ett skrynkligt papper = a crumpled/wrinkled piece of paper

For clothing, it often corresponds to wrinkled in English. For paper, it might sometimes be better translated as crumpled or creased, depending on context.

So in this sentence, skrynkliga clearly describes the shirt as wrinkled enough that it needs ironing.