Need help with personal “a” placement of this sentence I wrote.

I was doing homework for my Spanish 101 class in which it asked a series of questions in Spanish and we had to responded in proper Spanish.

One of the questions was: Qué tipo de musica escucha usted con mas frecuencia?

My response was: El tipo de musica que escucho con mas frecuencia es la musica que le gusta a mi esposa.

was this an appropriate use of the personal “a”?

My understanding is that the personal “a” can be used to distinguish between the subject and object of a sentence but is it always required even if there isn’t any confusion? Does the personal “a” always precede the object that follows the verb?

Or am I completely misunderstanding its use? We’ve just started learning about the personal “a” this week and I’d like to make sure I’m using it correctly!