Will it also be visible from the southern hemisphere (37°S)?

Yes. You can tinker with your location and look where it'll be at specific date and time with all the yellow icon settings across the bottom of this page. theskylive.com/planetarium?...

Online Star Maps: Comet C/2023 A3 (Tsuchinshan-ATLAS) | TheSkyLive

Find Comet C/2023 A3 (Tsuchinshan-ATLAS) in the sky using our online planetarium web application.