Ha!
Was thinking about this a little while ago - my gut instinct says play it by ear depending on the airfield. Our charts have minimum VS rates to make the gradient for the SID written in a table so I guess if you can make that VS at the specified speed, you're good on the SID and can continue to fly it as you sort your life out (or the other guy does!). If in doubt, no harm in being conservative and flying the e-turn though I guess.
I'd be hesitant to start punching buttons straight away unless things looked dire (unlikely in this scenario) - methodical, coordinated QRH/ECAM actions definitely better.
From one decidedly average pilot to a self-confessed rubbish one!
Edited to say - full power available too if not already in use of course!