La farmacéutica me dio un frasco pequeño de crema para la piel.

Yes. In this sentence, la farmacéutica means the female pharmacist.

In Spanish, many profession words change form depending on the person's gender:

• el farmacéutico = the male pharmacist
• la farmacéutica = the female pharmacist

The article la also shows that the person is feminine.

A useful extra note: farmacéutica can also be an adjective meaning pharmaceutical, but here it is clearly a noun meaning pharmacist.

Me is an indirect object pronoun, meaning to me.

So:

• dio = gave
• me dio = gave me / gave to me

Spanish usually uses these pronouns even when English might not emphasize them.

Compare:

• Me dio un frasco. = She gave me a jar/bottle.
• Le dio un frasco a Ana. = She gave Ana a jar/bottle.

In your sentence, me shows who received the item.

Dio is the preterite form of dar and is used for a completed past action:

• La farmacéutica me dio... = The pharmacist gave me...

This sounds like a single finished event.

Other options would change the nuance:

• daba = was giving / used to give
  → more ongoing, repeated, or backgrounded
• ha dado = has given
  → present perfect, more common in some contexts, especially in Spain for recent past

So dio is a very normal choice for a simple completed event in the past.

Dio comes from the verb dar = to give.

Yes, it is irregular in the preterite. The main forms are:

• yo di = I gave
• tú diste = you gave
• él/ella/usted dio = he/she/you(formal) gave
• nosotros dimos = we gave
• vosotros disteis = you all gave
• ellos/ellas/ustedes dieron = they/you all gave

A common learner point: although dio and fue are one-syllable-looking forms, they are normally written without an accent mark.

Both are possible, but they are not exactly the same in tone.

The most neutral, straightforward order is:

• un frasco pequeño = a small jar/bottle

In Spanish, adjectives often come after the noun.

If you say:

• un pequeño frasco

that can sound a bit more descriptive, literary, or emotionally colored. Sometimes a before-the-noun adjective feels less purely factual and a bit more subjective.

So in an everyday sentence like this, un frasco pequeño is the most natural choice.

Frasco usually means a small container, often for liquids, creams, medicines, perfumes, etc.

Depending on context, English might translate it as:

• bottle
• jar
• small container
• sometimes even tube is possible in looser translation, though not literally

Here, because it contains crema, jar or small container may fit well. The exact English word depends on what the container looks like.

So frasco is the general Spanish word, while English often chooses a more specific word.

Here de means of:

• un frasco pequeño de crema = a small jar/bottle of cream

Spanish often uses de to link a container to its contents:

• un vaso de agua = a glass of water
• una taza de café = a cup of coffee
• un frasco de crema = a jar/bottle of cream

So de crema tells you what was inside the container.

Because para means for, which expresses purpose or intended use.

• crema para la piel = cream for the skin / skin cream

If you used de la piel, it would usually suggest something more like of the skin or from the skin, which is not the intended meaning here.

Compare:

• crema para la piel = cream intended to be used on skin
• problemas de la piel = skin problems

So para is correct because the cream is for skin care.

Spanish often uses the definite article more than English does, especially with body parts and general categories.

So:

• la piel = the skin

Even when English might prefer skin without an article, Spanish often keeps the article:

• crema para la piel = skin cream / cream for the skin
• me duele la cabeza = my head hurts
• se lavó las manos = he/she washed his/her hands

This is very normal Spanish usage.

Yes, but it means something slightly different.

• La farmacéutica me dio un frasco pequeño de crema para la piel.
  • Focuses on the container and even tells you it was small.
• La farmacéutica me dio una crema para la piel.
  • Focuses on the product itself.

The original sentence is more specific because it tells you:

1. it was a frasco
2. it was pequeño
3. it contained crema para la piel

So both are possible, but the original gives more detail.

Some parts can move, but the original order is the most natural and clear.

Original:

• La farmacéutica me dio un frasco pequeño de crema para la piel.

Possible variations:

• Me dio la farmacéutica un frasco pequeño de crema para la piel.
  Grammatically possible, but less natural in normal conversation.
• La farmacéutica me dio crema para la piel en un frasco pequeño.
  Also possible, but it shifts the focus more toward the cream than the container.

Spanish word order is flexible, but not random. The original version sounds like standard, neutral narration.

You could say that, but then you would remove the idea of to me.

Compare:

• La farmacéutica me dio un frasco pequeño de crema para la piel.
  = The pharmacist gave me a small jar/bottle of skin cream.

• La farmacéutica dio un frasco pequeño de crema para la piel.
  = The pharmacist gave a small jar/bottle of skin cream.
  (But to whom? That part is missing.)

So me is necessary if you want to include the recipient.

You would change la farmacéutica to el farmacéutico:

• El farmacéutico me dio un frasco pequeño de crema para la piel.

Everything else stays the same.

That is because the gender change only affects the noun for the person and its article:

• la farmacéutica = the female pharmacist
• el farmacéutico = the male pharmacist