I find hypos that low really scary and leave me shakey for days so I hope you're OK after it?
Sugar is sucrose and doesn't convert that quickly into blood glucose. If you're down at 2.2 then personally I'd be looking for something faster like lucozade or glucojuice or glucotabs which are all glucose based then I'd follow that up with some longer acting carbs.
I'm glad you were well enough to deal with the hypo yourself. Be worth making sure you understand why the hypo happened and talking through with your DSN. Best wishes.