Before you adjust the truss rod, follow pops1 suggestion.
The truss rod is meant to adjust the bow or curvature of the neck, not the tilt. You want just a slight upward curvature of the neck.
There are allen screws in the bridge that can be used to adjust the height of the strings at the bridge, lowering the bridge saddles will bring the strings closer to the frets, particularly near the body. This can increase or decrease string buzz. There are other tactics you can use on a telecaster style guitar to adjust the neck angle as well.
I got one of these on close-out about a month ago (a tenor tele). It needed a lot of adjustment to string height and to the nut slots to get the action set up well, and to get it to play in tune. Heavier strings also helped, at least in CGDA tuning. Both the nut and the bridge had something of a tendency to generate string buzz, a bit of very cautious file work fixed this. I spent a couple hours tweaking it to really get it set up right, and it was well worth the effort, it plays and sounds much better. Funny how much better an instrument sounds when the notes are all in tune. A fun instrument. Fortunately telecasters are easy to work on. A lot of lower and mid priced electric guitars are shipped by Fender without much set-up work as far as I can tell. These issues are pretty common, but also relatively easy to fix.
If all of this discussion of adjusting makes you a bit nervous, it might be worth having it set up by a guitar shop in your area. I guess that does assume you can find one that's open.
This site discusses setting up a 6 string telecaster, looks to have plenty of pictures:
https://guitaristlab.com/the-fender-telecaster-setup/
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