Hi and
to the forum.
Unfortunately, the resolution of your picture is too small to be able to see exactly how the rim has been spoked, so I am unable to comment on the lateral rigidity aspect of your wheel, but if you grab the tyre where it passes through the forks and apply some sideways force, it should not move easily from side to side between the fork legs. If it does move easily, either the spokes are too loose, or there is not enough angle on the spokes to provide sufficient lateral rigidity for the rim.
Please check out
this post for further information regarding the lateral rigidity of wide rims.
If the rim has been correctly trued in both directions
(radially and laterally) and the tyre is correctly seated on the rim, then
(in theory) the tyre should not wobble.
However, if the wheel shakes violently when you raise the front wheel off the ground and apply full throttle, then I suspect the tyre is either misshaped, incorrectly fitted and/or the wheel and tyre assembly is very out of balance.
If the rim is running perfectly true, but the tyre is running out of true in relation to the rim, you may be able to improve the runout by deflating the tyre, re-seating it onto the rim again, and then re-inflating it to the tyre's maximum safe pressure, before letting it back down to the desired running pressure.
Alan