I doubt slipping sideways will be an issue. You'd have to drop almost vertically, side-on, off the face of a curling breaker to be too worried about a tri flipping sideways due to wave action.
The notion of 'tripping' is usually associated with catamarans lying a-hull with the leeward board down, and thus 'tripping' over the board, which prevents the boat 'slipping' sideways when wind or wave driven.
Tri's have the centre- or dagger-boards in the main hull, so it's less of an issue. Probably still want most of it up, if you were lying a-hull.
From what I've seen on other's boats (yet to try this myself) [try this...sorry] stuffing the leeward ama into the back of a wave, or wind-and-wave-assisted burying of the bow of the leeward ama is usually the greatest cause for concern, as this tends to slew the tri, creating a pitchpole (base over apex). As the boat basically stops dead in the water, wind pressure on the sails (especially if the spinnie or main is cleated in) will then do the rest.
But, having said that, people who race these smaller tris (i.e. not the big French machines - different league) report that it is, generally speaking, even when racing and pushing the limits of what's 'safe', REALLY hard to pitchpole a tri.
SamNZ's Green Machine tried a few times, and no-one's ever accused that crew of not 'going for it' but they never (TMK) flipped or pitchpoled. Stood up vertically, and had people falling off everywhere, but never *quite* went all the way over.
So on the basis of that 'lived experience', a cruising tri, heavier, slower and not 'trying so hard' would probably almost never be placed in such a situation.
Probably best to avoid the Roaring 40s and hurricanes, though...just to be safe....