Learn Spanish (Latin America): Acabo de comer una empanada exquisita.

The phrase acabar de followed by an infinitive (like comer) is the standard Spanish formula for saying you "just" did something. Even though the action happened in the past, you use the present tense of acabar. It works similarly to saying "I have just finished eating."

Can I say acabo de comerme instead of acabo de comer here?

Yes, absolutely! Adding the reflexive pronoun to make it comerme is extremely natural in everyday Spanish. It adds a subtle layer of personal enjoyment or emphasizes that you ate the whole thing up, whereas just comer simply states the fact that you ate.

Is exquisita commonly used for food in Spanish? In English, "exquisite" sounds a bit fancy.

It is much more common for food in Spanish than "exquisite" is in English! While it still means something is of high quality, exquisito (or exquisita) is frequently used in everyday conversation simply to mean that a meal was exceptionally delicious.

Why does the adjective exquisita come after empanada?

In Spanish, descriptive adjectives generally go after the noun they modify (una empanada exquisita). Placing it before the noun (una exquisita empanada) is grammatically possible, but it would sound overly poetic or dramatic for an everyday conversation about food.