As Buck says - if you want to get it out, then it's really simple.
Put your hands in the gaiter round the gear stick, and pull the plastic up. You can then turn the gaiter inside out over your gear stick. This will reveal a couple of torx screws on the edge of the ashtray. I think they're T20 from memory?
Remove the screws, and you should now be able to lift the ashtray out. It'll have the cables attached for your ESP and Parking Sensor switches, so be careful. You can unclip them and remove the whole assembly - or leave them attached and try and get your stirrer out.
Alternatively - just leave it. There's nothing down there that's likely to get damaged by a small piece of wood!