Hi! As I am aware, response is: no. Qortal will not be listed on any exchange, because out platform offers cross chain trade. Currently there is BTC-QORT pair. Very soon there will be LTC-QORT.
The Trade Portal is a COMPLETELY DECENTRALIZED peer-to-peer (p2p) trade platform, built inside the Qortal User Interface.

Here is additional info, from one of Crowetics podcasts: https://youtu.be/i4-bbp_gRS4
Also, there is a lot of info on: http://wiki.qortal.org/doku.php?id=the_trade_portal_-_info