There are two basic systems
involved in "time-out" door interlocks.
The older system tends to last for ever, the newer system is legendary for it's high failure rate.
The older system makes use of a bi-metal and a small heating element. The door is closed, the program begins and the heating element is powered up. The bi-metal actuator very very quickly bends or twists and the door can't be opened.
The newer system (famous for a 100% failure rate in some Maytags) uses what is called a "wax-motor". Same basic principle, but instead of heating a bi-metal component, wax is melted and a plunger is moved. When the wax cools, it moves back.
Sounds like a good idea and, in many applications it works. Whereas the bi-metal interlock is ancient technology and can be made in low-tech factories to very high quality levels, the wax-motor is dependent upon every aspect of the production process being perfect...and the application environment being perfect...and, unless specifically set up for it, does not care for humidity or vibration. Not, of course, that you'd find moisture or vibration in a washing machine. Perish the thought.
The good news is, this interlock prevents you from hurting yourself or damaging the machine. The bad news is, those are the very very longest 2 minutes on the planet earth. I had an AEG back in the 1980's which had three interlocks...each of which reacted in 10ths of a second when turned on, but each of which released slower than molasses in January in Novobirsk.
Solution: If this is really driving you crazy, as favorit mentioned, there is a small plastic ring in the drain compartment you can pull down to release the door. Sometimes it is a thin piece of thread. Either way, it is meant to be used for emergencies and will quickly snap or tear and probably in doing so, make you get the machine repaired.
A very dangerous and not good idea is to take the interlock and move it so that it still actuates, but does not lock the door. You can't take it out of the circuit because most systems have a fail-off set-up, but that way, it won't bug you.
I'm NOT recommending that, just, after the AEG, I really understand how two minutes can seem to be two hours.
All FL combi machines require you to dry only half the load you've washed for good performance. Most of my friends who have them also have those high-speed spinners (mine runs at 2,800rpm) and they take all the clothes out, spin them for a few minutes and then put them back in. The results are that the combi-machine can dry the entire load in less time than it would normally take for just one-half the load. Maybe that would be a good compromise for you?
Italian products tend to be extremely well thought out, I don't know anybody who can produce quality engineering and low prices as well as the Italians and still have it look good. Their willingness to use older and newer technologies to achieve a goal has a lot to do with it.
Your interlock will look something like this, if not exactly.
