Hemşire iğneyi dikkatle çıkardı.

It marks iğne as the direct object of the verb, and specifically a definite/specific one.

• iğne = needle
• iğneyi = the needle / the specific needle

In Turkish, direct objects are often marked with the accusative suffix when they are definite or specific.

Because Turkish inserts a buffer consonant -y- between two vowels.

The accusative suffix is basically -(y)ı / -(y)i / -(y)u / -(y)ü.
Since iğne ends in a vowel, you need the buffer y:

• iğne + i → iğneyi

Without that y, the word would be awkward to pronounce.

Because of vowel harmony.

The last vowel of iğne is e, so the accusative takes the front unrounded form -i:

• iğne → iğneyi

The four-way accusative pattern is:

• -ı
• -i
• -u
• -ü

Which one appears depends on the final vowel of the noun.

Çıkardı is the simple past tense, third person singular, of çıkarmak.

Breakdown:

• çıkar- = verb stem
• -dı = past tense
• third person singular has no extra personal ending here

So çıkardı means he/she removed / took out.

In this sentence, the subject is hemşire, so the sense is the nurse removed it.

Yes. They are closely related.

• çıkmak = to go out / come out
• çıkarmak = to take out / remove / cause to come out

So çıkarmak is the transitive version: instead of something coming out by itself, someone removes it.

That is why iğneyi can be the object of çıkardı.

Dikkatle means carefully or literally with care.

• dikkat = attention / care
• -le = with / by means of

So dikkatle is an adverb-like form meaning carefully.

By contrast:

• dikkatli = careful

That is an adjective, used to describe a noun:

• dikkatli hemşire = a careful nurse

But in your sentence, the word describes how the nurse removed the needle, so dikkatle is the right form.

This is a very normal Turkish word order, yes:

• Hemşire = subject
• iğneyi = object
• dikkatle = adverb
• çıkardı = verb

Turkish often prefers SOV order: Subject + Object + Verb.

Adverbs commonly come before the verb, so this sentence sounds natural.

However, Turkish word order is also flexible for emphasis. For example, you might move parts around in conversation, but the neutral version is very much like the one you have here.

Turkish does not use the the way English does.

So hemşire can mean:

• nurse
• the nurse

The exact meaning depends on context.

If Turkish wants to say a nurse, it can use bir:

• Bir hemşire iğneyi dikkatle çıkardı. = A nurse removed the needle carefully.

But without bir, the noun is often understood from context as definite or generic.

Because hemşire is the subject, and subjects are usually in the nominative, which has no ending in Turkish.

Meanwhile, iğneyi is the direct object, so it takes the accusative ending.

So the contrast is:

• hemşire = subject, no case ending
• iğneyi = definite direct object, accusative ending

This is a very common Turkish pattern.

In iğneyi, the ğ is not pronounced like a strong g in English.

In many words, ğ either:

• lengthens the previous vowel, or
• creates a very light glide

So iğne is often pronounced roughly like ii-ne or een-eh with a lengthened vowel, not with a hard g sound.

And iğneyi is roughly ii-neyi.

The exact pronunciation varies a bit by speaker and region, but the important point is:

• ğ is usually soft
• do not pronounce it like a normal hard g

Yes. Depending on context, çıkardı can be translated a few slightly different ways:

• The nurse removed the needle carefully.
• The nurse took the needle out carefully.
• The nurse pulled the needle out carefully.

The Turkish sentence stays the same, but English may choose different natural verbs depending on the situation.

Yes, there are other natural possibilities, depending on style and nuance.

For example:

• dikkatle = carefully / with care
• dikkatlice = carefully
• özenle = carefully / with care / meticulously

Your sentence with dikkatle is completely natural. It is a good standard way to say that the action was done carefully.

Because Turkish normally places the main verb at the end of the sentence.

That is one of the biggest differences from English.

English:

• The nurse removed the needle carefully.

Turkish:

• Hemşire iğneyi dikkatle çıkardı.

So when reading Turkish, it is very common to wait until the end to get the full verb information.