Ok, firstly futures aren't necessarily Delta-1. If you're looking for a perfect hedge then you should bear this in mind. Can run up to 1.25...
Secondly, if you're short a put the only hedge you can get to ameliorate all exposures is to buy a put. If you short a call (let's assume same expiry, possibly different strike) you end up short a straddle/strangle which may well make you delta-neutral for now but will result in you being short both gamma and vol.
irishpaddypc, please you could help us with how to dynamically hedge a short put with 'the correct underlying' ? I'm very curious, as apart from the underlying stock/index-future you're left with other options, unless you're really big size and you're worried about your rho and want to buy/sell and interest-rate swap or if your dividends exposure is to big and you want a dividends-swap....
Guess it all depends what one thought one's plan was when originially selling the put... did one expect prices to rise? To stay where they are? i.e. trying to be long-delta or short-vega?