Is there anything wrong in this sentence? can't find any errors here....

You need an indefinite article before the word authorial, or add a definite article and also get rid of the word 'one'. To wit -

Her interest in animals, however, extends beyond an authorial one.
Her interest in animals, however, extends beyond the authorial.

Thanks you so much!!!

Could I ask you another question??

- And it can also keep the meeting on the track.-

Is there anything wrong as well?

"on track" is an idiom, and it doesn't use the definite article:

http://idioms.thefreedictionary.com/on+track