I was thinking more of bending it on the other axis, i.e. bending the HUD in a circle around the player, that way you can also attach other hud elements and they should seem more "in place".

The panel should also not have a hard border! Makes it look way too "hard" IMHO, the look you should be going for is "floating hologram". Maybe even add a scanline/chroma-aberration shader to complete the look