Surprisingly, Clara was still working and was completely shocked that I completed the quest in less than a few hours.
Good thing she recovered quickly and processed it for me professionally, congratulating me on completing my first quest and I was two silver coins richer.
By now, she should have realised I was the real deal.
I took a look at the request board again, the Guild being much more empty than before since it's already so late at night.
I managed to find a request that involved picking up herbs in an area nearby where we had set up camp so I took that one and registered it with Clara again. Apparently the herbs are used in some minor alchemical recipes so there's still a demand for them.
This time she processed the quest without any words of doubt, even wishing me good luck and asking me to be careful before handing my card back to me.