what your looking at is the evaporator.
would expect it to be a pig to get to but try to see if it will clean itself
the dryer uses water from the draw to clean the condensor so start a programme but before you do fill the water container at least half full. that way there is plenty of water to try and clean the evaporator
apart from that is a complete strip down
you could try a long soft bottle brush to try to tease the fluff loose. dont use anything hard as the fins are very soft and you will damage them
Dave