هي توزع بطاقات اللعب فقط.

Not strictly. Arabic verbs already show person, number, and gender, so توزع by itself can already mean she distributes in context.

So you could say:

• توزع بطاقات اللعب فقط.

Adding هي makes the subject more explicit. It can sound like:

• emphasis: she distributes...
• contrast: she, not someone else, distributes...
• clarification: useful because the verb form could otherwise be ambiguous in writing.

Because in unvowelled Arabic writing, the form توزع can represent both:

• هي توزع = she distributes
• أنتَ توزع = you (masculine singular) distribute

These two forms are written the same in normal Arabic script without short vowels. The pronoun هي removes the ambiguity and tells you the subject is she.

This is very common in Arabic: context or an explicit subject often tells you which meaning is intended.

It is the imperfect (non-past/present) form of the verb وزّع = to distribute / hand out.

More specifically:

• past: وزّعتْ = she distributed
• imperfect: توزّع = she distributes / is distributing

Fully vocalized, it is:

• تُوَزِّعُ

This is Form II of the root, which often gives a causative or intensive sense. Here it means to distribute, not just to spread in a general sense.

بطاقات is the plural of بطاقة.

So:

• بطاقة = a card
• بطاقات = cards

In this sentence, it is the direct object of the verb توزع, because it is the thing being distributed.

If the sentence were fully vowelled, this word would be read as بِطاقاتِ here. That may look surprising, but it is normal: the sound feminine plural takes kasra in both the accusative and genitive.

Because بطاقات اللعب is an iḍāfa construction, a noun-plus-noun structure often translated as X of Y.

In an iḍāfa:

• the first noun usually does not take الـ
• the second noun determines definiteness

So:

• بطاقات اللعب

not

• البطاقات اللعب

The first noun بطاقات is the thing possessed or described, and the second noun اللعب completes its meaning.

It is an iḍāfa phrase, literally something like cards of play.

In natural English, this becomes playing cards.

This is a very common difference between English and Arabic:

• English often uses a noun as an adjective: playing cards
• Arabic often uses iḍāfa: بطاقات اللعب

So even though the literal structure is noun + noun, the natural meaning is a single expression.

Also, the second noun اللعب is in the genitive because it is the second part of the iḍāfa.

Because after بطاقات, Arabic needs a noun, not a verb.

Here اللعب means play / gaming as a noun, not plays as a verb.

So:

• اللعب = play, gaming
• تلعب = she plays / you play

In بطاقات اللعب, the word اللعب is naming the type of cards. It is not describing an action happening in the sentence.

فقط means only / just.

In this sentence, it limits the statement in some way. Depending on context, English might understand it as:

• She distributes only playing cards
• She just distributes playing cards
• She distributes playing cards only

Arabic فقط is often placed after the word or phrase it relates to, but in practice its exact scope can be a little flexible and context decides the most natural interpretation.

Yes. Arabic allows more than one word order, with slightly different emphasis.

For example:

• هي توزع بطاقات اللعب فقط.
  This highlights she as the subject.

• توزع بطاقات اللعب فقط.
  Very natural; the subject she is understood from the verb/context.

• هي فقط توزع بطاقات اللعب.
  This more clearly means she alone distributes the playing cards.

• هي توزع فقط بطاقات اللعب.
  This can put the only more closely with the object phrase.

So the sentence you have is correct, but different orders can shift emphasis.

A fully vocalized version is:

هِيَ تُوَزِّعُ بِطاقاتِ اللَّعِبِ فَقَطْ

A rough pronunciation is:

hiya tuwazziʿu biṭāqāti l-laʿibi faqaṭ

A few useful notes:

• تُوَزِّعُ has a doubled middle consonant, shown by shadda
• بِطاقاتِ ends in -i here because of the sound feminine plural accusative
• اللَّعِبِ begins with الـ, and the l is pronounced with assimilation to the next l
• فقط is often pronounced faqaṭ