Should I consider quitting my Ph.D. after 6 months? About my background:
I finished my master's six months ago with a cum laude in Europe (A tier 1 university) and my research was very theoretical and I did invest a lot of thought into it. I like it a lot. Even though it was challenging, I was motivated. Therefore, I like to research a lot, I really do.
Because of my dedication, I was approached by my professor for a Ph.D. position. He listened to my interests and gave me some advice and some facts. According to him, people don't consider hiring people for a Ph.D. in the area I was interested in unless they have a solid background.
Then, he offered me a Ph.D. which is not related to what I did in my masters. I would say it is more applied than fundamental. I didn't do all courses related to that topic before to understand it fully. He promised to change the topic a little bit so that it fits my interests.
I did a literature review and I found questions to solve. He assigned me a daily supervisor who works under him. Let's call him DS (Daily Supervisor). I had heard not very good reviews about him earlier. People under him tend to finish their Masters and Ph.D. later than they originally are supposed to. He doesn't have a hold of concepts when it comes to research but at the same time has a lot of ideas that are scattered all over the place.
He confuses me all the time. When I came up with my research questions more towards my interests, he really tried forcing me to consider finding questions related to the more applied stuff and more towards its application side which is not my strong point because simply I don't have a solid background in it. Both the main professor and DS had some clash of ideas.
I am a direct person and if I don't like something I complain. They did find a direction for me and again promised that I would do something of my own interests after a year.
Now. I feel like I am trapped. My main professor is very considerate. I am thinking of asking him if I can do a post-masters here instead of a Ph.D. and do some TA work for the next six months and I will ask him to recommend me for some work abroad related to A for my next Ph.D.
The main professor still thinks I am creative, I have an analytical mind and also he trusts me. He may consider writing me a good recommendation. However, I may really hurt his trust that he has in me. Although I am really grateful I have this position and I can repay my loans, I am always in a position to complain. And, practically he reviews my results for the papers I want to write. It may affect it significantly and I wouldn't have any papers before I apply somewhere else.
I am really confused about what to do. The more I want to make the communication with my prof and DS transparent, the more they get me confused and I feel like a very bad student even though at the back of my head I know I was a cum laude student. Please give me your feedback on what you would do if you were me.
First of all, put aside your cum laude moniker. You are not in undergraduate anymore, you are in graduate school, and while you were miles ahead of your peers before, you now find yourself in a mix of your intellectual peers. This should be expected.
Second, there is no reason to be shy about raising your concerns in full disclosure to your advisor(s). The alternative is that you eventually leave anyway, so why not be brutally honest?
Your 'confusion' may stem from a lack of clear direction and path forward.  You can mitigate this by forcing yourself to write down you academic goals, and devise a plan to meet them, within reason given your advisors' interests and capabilities, of course.
Most of these things can be solved through communication; but unfortunately in higher academics communication can be difficult.
If you decide to go a different route, just make sure it is for your reasons and not those that are circumstantial.