Kuzenim topuklu ayakkabı giymeyi seviyor, ama ben uzun süre topuklu giyince yoruluyorum.

Kuzenim means my cousin.

The ending -im is a possessive suffix meaning my:

• kuzen = cousin
• kuzenim = my cousin

Turkish usually says possession with a suffix instead of a separate word like my.

Because sevmek normally takes an object, and here the object is the act of wearing.

So Turkish turns giymek (to wear) into a verbal noun and puts it in the accusative:

• giymek = to wear
• giymeyi = wearing / to wear, as the object of sevmek

Structure:

• topuklu ayakkabı giymeyi seviyor = she/he likes wearing high heels

The -yı/-yi part is the accusative, and the y is a buffer consonant:

• giymek → stem giyme
• giyme + yi → giymeyi

Topuklu ayakkabı means high-heeled shoes or heeled shoes.

Breakdown:

• topuk = heel
• -lu = with, having
• topuklu = heeled, with heels
• ayakkabı = shoe

So literally it is something like shoe with heels.

Because Turkish often drops a noun when it is already understood from context.

In the first clause, the full phrase appears:

• topuklu ayakkabı

In the second clause, just topuklu is enough, because the listener already knows we are talking about topuklu ayakkabı.

So:

• topuklu giyince = when I wear heels / high heels

This is very natural in Turkish.

Giyince comes from giymek (to wear / to put on) plus the converb ending -ince.

It usually means:

• when
• once
• sometimes if

Here it means:

• when I wear

So:

• uzun süre topuklu giyince = when I wear heels for a long time

The subject is understood from the main verb yoruluyorum (I get tired), so giyince is interpreted as when I wear.

Because yorulmak means to get tired / become tired, while yormak means to tire someone/something out.

Compare:

• yoruyorum = I am tiring (someone)
• yoruluyorum = I am getting tired

In this sentence, the speaker is the one becoming tired, so yoruluyorum is the correct form.

Yes, they are in the Turkish -iyor form, often called the present continuous:

• seviyor = he/she likes / is liking
• yoruluyorum = I get tired / I am getting tired

But in Turkish, this form is used not only for actions happening right now. It is also very common for:

• habits
• general tendencies
• repeated situations

So here:

• Kuzenim ... seviyor = My cousin likes ...
• ... yoruluyorum = I get tired ...

This is completely normal usage.

Uzun süre means for a long time or for a long period.

• uzun = long
• süre = duration, period, time span

It works as an adverbial expression modifying giyince:

• uzun süre topuklu giyince = when I wear heels for a long time

Turkish often leaves subject pronouns out, because the verb ending already shows the person.

• yoruluyorum already means I get tired

So why add ben? For contrast and emphasis.

The sentence contrasts two people:

• Kuzenim ... seviyor
• ama ben ... yoruluyorum

So ben is there to stress:

• but I get tired

Yes. The structures are different.

In the first clause:

• giymeyi seviyor
• sevmek needs an object, so the action wearing high heels is turned into a noun-like form: giymeyi

In the second clause:

• giyince
• this is not an object; it is a time/condition clause meaning when wearing / when I wear

So the two forms are different because they do different grammatical jobs:

• giymeyi = object of seviyor
• giyince = adverbial clause meaning when

Yes, absolutely.

That would be fully grammatical and very clear:

• Uzun süre topuklu ayakkabı giyince yoruluyorum.

The version with just topuklu is simply more natural and less repetitive, because ayakkabı is already understood.

Usually, in everyday use, topuklu by itself often refers to high heels or heeled shoes, especially in clothing/shoe contexts.

Literally, though, it just means with a heel / heeled:

• topuk = heel
• -lu = having, with

So the exact English translation depends on context. In this sentence, high heels is the most natural interpretation.

Sometimes -ince can be translated as if in English, depending on context. But in this sentence, when I wear sounds more natural.

So:

• uzun süre topuklu giyince yoruluyorum = When I wear heels for a long time, I get tired

It describes a regular result, not a hypothetical situation, so when fits better than if.