Hi, Unixar. Welcome to Azeroth- more or less 
There are a LOT of things to get stuck on at 60. The hitting-60 experience could well have been designed by Kafka. I have like 17 characters at level 60, and with every! damn! one! of them I’ve managed to snag myself on something.
So the first thingf I see when I look at your armoury https://worldofwarcraft.com/en-gb/character/eu/turalyon/unixar/ is that you haven’t found a Covenant yet.
And then I go to your Quests in Shadowlands, and I don’t see that you have done any quests at all in Shadowlands, except the Maw introduction. Your armour is all from dungeons - Timewarped, with one Heroic piece from BfA.
Did you use a boost to 50, do some BfA dungeons, and then Timewalk-dungeon your way to 60?
If this is so, I’m afraid I have to tell you that you are now required to do the campaign quests in order to join a Covenant, and you are required to join a Covenant in order to get your soulbinds and conduits, unlock World Quests and Torghast and Korthia and Zereth Mortis for your Legendary, and so on.
I’m going to assume thatI’m right about how you got to 60. If I’m wrong, please let me know, so I can advise you better.
What I would do if I were you is visit the Auction House, and buy item level 229 Green Mail pieces of armour for your weak slots, where I would call anything below ilevel 200 weak. Your current ilevel is 139, and that will make the going tough for you in a world where level 60s are expected to be operating at something like double that power and health.
The Mail set is called “Anthemic”, and here are the prices: https://theunderminejournal.com/#eu/turalyon/search/anthemic
The weapon you ideally want is Burnished Arbalest https://theunderminejournal.com/#eu/turalyon/item/188040
You probably won’t be able to afford a full set immediately. There are some ways to farm a few thousand gold over several hours I can suggest, if you’re interested.
Now, whether you get that upgraded gear or not, the thing you have to do is work through the levelling campaign. There is no way around this. The questing campaign will send you around the four zones to meet the four Covanants, and when you have finished it, you can choose one to join, and that will open up all the features of the level 60 endgame.
The first Covenant is Bastion. Tal-Inara at the table in Oribos will have a quest for you to go to Bastion. Do you have that quest, or can you find it? If so, that’s your answer. Go, follow the trail of quests all round the four zones.
This is the final quest in Oribos before you head to Bastion:
If you look on the right of the page, at “Storyline”, you will see the quests leading up to it. Find yourself in that storyline, and carry on from there.
Let me know if you understand this and if it worke for you.