Clienta din fața mea caută bani în portofel și nu găsește cardul.

Because clienta is the definite form: the female customer/client.

• clientă = a female customer/client
• clienta = the female customer/client

Romanian usually puts the definite article at the end of the noun, instead of using a separate word like English the.

Also, Romanian client/clientă often means customer in everyday situations, not just client in the English professional-services sense.

În fața mea is the basic phrase for in front of me.

But after a noun, Romanian often uses din fața mea to mean the one in front of me, literally something like from the space in front of me.

So:

• Clienta din fața mea = the customer in front of me
• Clienta este în fața mea = the customer is in front of me

Both are natural, but they are used in slightly different structures.

Because Romanian possessives normally come after the noun.

• fața mea = my front / the space in front of me
• cardul meu = my card
• portofelul ei = her wallet

This is the normal Romanian word order. English puts the possessive before the noun; Romanian usually puts it after.

Because in Romanian, a possessed noun is usually in the definite form.

So Romanian says:

• fața mea = literally the front of me
• cardul meu = my card
• casa mea = my house

That is why you see fața, not just față.

Because bani here means money in a general, non-specific sense.

• caută bani = she is looking for money / some money
• caută banii = she is looking for the money, meaning a specific amount already known in the context

So the version without the article is the natural choice here.

Yes. Ban is one small monetary unit or coin, and bani is the plural. But in everyday Romanian, bani is also the normal word for money in general.

So Romanian uses a plural form where English uses an uncountable noun:

• Am bani. = I have money.

În portofel does not explicitly say her wallet. It just says in the wallet / in a wallet.

But in this context, Romanian often leaves ownership unstated if it is obvious. Since the sentence is about that customer looking for money and her card, listeners naturally understand that it is her wallet.

If you want to make it fully explicit, you can say:

• în portofelul ei = in her wallet

Because this refers to a specific card.

• cardul = the card
• un card = a card

In this sentence, she is trying to find a particular card, so the definite form cardul is the natural one.

Because Romanian often omits repeated subjects when they are already clear from the context.

After Clienta ... caută, it is obvious that găsește still refers to the same person. So Romanian simply says:

• caută ... și nu găsește ...

Repeating clienta would usually sound unnecessary unless you want extra emphasis.

They are both present tense, third person singular.

• a căuta → caută = he/she looks for, is looking for
• a găsi → găsește = he/she finds, is finding

Romanian present tense often covers both ideas that English splits into simple present and present continuous.

Literally, nu găsește means doesn't find.

But in English, when someone is searching for something and failing, we often say can't find rather than doesn't find. So the natural translation is often:

• nu găsește cardul = she can't find the card

Romanian does not need a separate word for can here. The idea of unsuccessful searching is already clear from the context.