Neither will get priority, but I would expect the wired connection to complete first, all else being equal.
The way a typical ADSL router works is by bridging the ethernet ports together and then "natting" them across the ADSL connection, thus because the WIFI and ethernet are a bridge they get the same parameters applied to them.
Of-course, the characteristics of WIFI and a fixed lan are different. A Wifi [typically] has less bandwidth available to it - a theoretical maximum of 300 megabit, but practically less then 50 megabit for "an average performing" connection. An ethernet connection typically has 100 megabit or more connectivity.
Additionally the latency (ie time a ping takes between the router and computer) is a lot lower on a wired connection compared to a wireless connection, thus it will get a performance edge, particularly during the setup process of the connection. This will make a (small) difference to the start speed of an FTP connection, but probably not noticeable on a large file download.