So, an interesting question:

Will Zelda skip E3?
Note: Not about Zelda HD, but Zelda as a franchise?

Could a new Zelda game for 3DS be announced? A new port/remake/remaster?

I'm guessing that Zelda will, because I doubt there will be another 3DS Zelda game..

What about a new port? A new Symphony of the Goddesses?

My guess is that all new handheld Zelda games will come out on the next system, so no more for the 3DS.

Yeah I'm also not counting on it.

I doubt the 3DS will have a 4th Zelda game, that would be unprecedented. I don't expect them to be that far into development of a new handheld title either, they should primarily be developing Zelda U. You never know though.

Yeah but 2 are remakes and the other one is very similar to A Link to the Past.

I dont think we'll see another Zelda for the 3DS; the NX will probably be released 2016/17 and thats where we'll see the next hh Zelda

I doubt that matters much, remake or ALttP knock-off or no, they are still games and they still took the time to make those... And they sure took their time . If Zelda U is in full swing they can't be that far into development of a new handheld title and Grezzo or whatever is just done with MM3D so they are also nowhere yet with a potential remake/master. Like I said though, you never know, maybe they somehow did find the time to sqeeze something in while developing Zelda U, but I'm not going in E3 expecting anything.

I'm not considering possibilities of spin-offs here though, because there's no way to guess, or Zelda/Link appearances in other things...

(this reply could also anwer mZuzek, if I am understanding his elaborate comment correctly)

Check out these cool photos, courtesy of Kyleigh Parker:

Source

i think it would be cool if they released dlc for ocarina of time and mm. 3 different packs: 1 being a connection mission between those two games and theother two being sequel missions to mm making the hero of time trilogy complete at last. esch could be $15 so collectively they would be a full game.