Pani Mario, czy mogłaby pani potwierdzić nowy termin spotkania?

Because Mario is the vocative form of Maria. In Polish, when you directly address someone, you often use the vocative case.

• Maria = the basic dictionary form
• Mario! = Maria! when speaking to her directly

So Pani Mario means Ms. Maria / Mrs. Maria in direct address.

In formal Polish, pani and pan often work like polite pronouns meaning you.

So:

• Pani Mario = direct address: Ms. Maria
• czy mogłaby pani... = could you... (formal, to a woman)

English uses you, but Polish often repeats pani/pan to keep the sentence polite and clear.

The first Pani is part of the direct address: Pani Mario.

The second pani is being used more like a pronoun inside the sentence: could you.

In normal writing, that second pani is often lowercase. In very polite letters or emails, many people also write it with a capital letter as a courtesy:

• czy mogłaby Pani potwierdzić...

So lowercase is grammatically fine, while uppercase can add extra politeness in correspondence.

Czy introduces a yes/no question.

It does not always have a neat one-word English translation, but in this sentence it helps create the meaning:

• czy mogłaby pani... = could you... ?

Without czy, the sentence can still be understood as a question from intonation or context, but czy is the standard, clear way to form this kind of question.

Mogłaby comes from the verb móc = to be able / can.

Here, mogłaby is a conditional form, and it is feminine singular, because the speaker is addressing a woman.

So:

• mógłby pan = could you (to a man, formal)
• mogłaby pani = could you (to a woman, formal)

This form makes the request softer and more polite, similar to could you rather than a more direct can you.

Because after móc (can / could / be able to), Polish normally uses the infinitive.

So:

• mogłaby pani potwierdzić = could you confirm

This is the same basic idea as in English:

• could you confirm not
• could you confirms

So potwierdzić is correct because it follows mogłaby pani.

The whole phrase is the object of potwierdzić (to confirm), so termin is in the accusative.

However, for a masculine inanimate noun like termin, the accusative singular looks the same as the nominative:

• nominative: nowy termin
• accusative: nowy termin

Then spotkania is in the genitive, because it depends on termin:

• termin spotkania = the date/time of the meeting

So literally this part is something like the new date/time of the meeting.

Not usually in the English sense of term.

In Polish, termin often means:

• date
• time
• scheduled time
• appointment slot
• sometimes deadline

In this sentence, nowy termin spotkania means the new date/time of the meeting or new meeting time, not an academic term or vocabulary term.

It is polite and professional. It sounds appropriate in a workplace or formal situation.

Why it sounds polite:

• Pani is formal address
• mogłaby pani softens the request
• potwierdzić is neutral and professional

So this is a good sentence for speaking to a female colleague, client, teacher, or other person you address formally.

Yes, Polish word order is fairly flexible, but this version is very natural:

• Pani Mario, czy mogłaby pani potwierdzić nowy termin spotkania?

Some small variations are possible, but they can change emphasis or sound less standard.

For example:

• Czy mogłaby pani potwierdzić termin spotkania?
  = Could you confirm the meeting date/time?

• Czy mogłaby pani potwierdzić nowy termin?
  = Could you confirm the new date/time?

Your original sentence is a very natural polite request.

Because Pani Mario is a direct address.

In English, this works the same way:

• Maria, could you confirm... ?

In Polish, the name/title you use to address someone directly is normally separated by a comma, so:

• Pani Mario, czy mogłaby pani...

To a man, formally:

• Panie Marku, czy mógłby pan potwierdzić nowy termin spotkania?

To a woman you know well, informally:

• Mario, czy mogłabyś potwierdzić nowy termin spotkania?

The main changes are:

• pani → pan for a man
• mogłaby pani → mógłby pan for a man, formal
• mogłabyś for informal you to a woman

So Polish changes depending on both formality and gender.