The first sentence sounds correct. Word consultation is regularly used for thir purpose.

To consult means:

to ask for information or advice from someone because it is their job to know something

or

to discuss something with someone so that you can make a decision together

or

to look for information in a book, map, list etc.

(Ref. LDOCE)

So, you can't really consult an appointment. The 2nd sentence would have to be rephrased to be correct. With the word appointment you can use: make, set, have etc. (have fits your example best, I think).

The first sentence sounds correct. Word consultation is regularly used for this purpose.

To consult means:

to ask for information or advice from someone because it is their job to know something

or

to discuss something with someone so that you can make a decision together

or

to look for information in a book, map, list etc.

(Ref. LDOCE)

So, you can't really consult an appointment. The 2nd sentence would have to be rephrased to be correct. With the word appointment you can use: make, set, have etc. (have fits your example best, I think).