Excuse me, I don't wear pointy hats!

Question

There's a guy moving into my neighbourhood. People have seen him do some strange, reality-bending things, like materialising objects out of thin air and moving things around telekinetically with a wave of his hand. Rumours are spreading that he's a wizard, a real magic-wielding wizard.

So I went to visit him to ask how he was able to do all that and ask him straight out if he's really a wizard.

He promptly denied and laughed in my face, of course, and then conjured up some cards. "Here, these cards hold the answer. If you really want to know what I really am, just shuffle them and you'll get it", he said.

After examining them for a while, I replied, "I don't get it. Are you sure these aren't just some random nonsense cards you just made up?"

He took the cards back and started scribbling something on them, muttering under his breath. "Random nonsense cards, huh? How rude! Here, let me show you." He drew a line there, crossed something out there, scribbled away...

Then after a short while he blurted out, "Hey, you tricked me! I'm not going to solve it all for you. Here, three cards are more than enough, you can figure out the other three yourself! Don't need to draw on them like I did, that was just a guideline - you can do it all in your head. Shuffle them. Shuffle them all and If you're done shuffling then shuffle once more and the answer will be made clear to you. It won't spell it out, but you'll know what it implies."

And with that, he vanished into thin air, leaving me alone in his own house. What a weird guy!

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_{*Bold parts are for TL;DR}

I spent too much time shuffling these cards in every order and still got nowhere. That may not have been the right approach. I don't know…

I give up, Puzzling SE. Please solve it for me. Here are the cards the wizard gave me:

What is the wizard's real profession?

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Hint:

Due to ambiguity of its size, the other creature on the third card could potentially have either 6 or 4 lines If lines were to be drawn on it. In this puzzle, it is 4 (and no X mark).

Answer 1

The first thing that stands out is that

in at least two of the given images, the thing annotated with lines has a name that matches the number of spaces between the lines, so perhaps we are supposed to remove the letter corresponding to the crossed-out space, combine with a word for the other thing on the card, and anagram. Probably each card will have one letter to be removed. (And then maybe the removed letters will be significant at the end, most likely anagrammed to make the final answer.)

Well,

the first one is a DOE on a RAF(T), and Qat tells me that the only anagram of DOERAF is FEDORA. That would fit with the hats in the title, so let's continue.

The second card

is, I think, a TOME on a (B)ARN making a MONTERA.

The third card

looks like a P(I)PER and a MOUSE, but the hint tells us that it's actually a 3 not a 5 so presumably a RAT, so this is a TRAPPER.

The fourth card

must be an OWL and a BE(A)R making a BOWLER.

The fifth card

seems like a PIANO and a CA(R)T making a CAPOTAIN.

The sixth card

is a (B)AT and a ROBE making a BOATER.

At this point we have

all the extra letters, and shuffling these we pull a RABBIT out of all those hats, as any good wizard should be able to do. Is our wizard a rabbit? I think not! Rather, I think we have to remove one letter again and find that he is a RABBI. Perhaps his wizardry is practical Kaballah or something of the kind. Anyway, a rabbi might wear various kinds of hats, but mostly not pointy ones, though in the Middle Ages one might have been seen wearing a so-called Jewish hat, which is pointy :-).