Gently pull the vent pipe away from the wall duct. If your dryer is electric you should be able to push the appliance out of the way without any issues. This will open up more space to work.
So my advice for Martinis is: keep them icy and small. That first, electrifying sip is usually the best one, after all. A 150ml glass is perfect. Or even smaller if you can. Vintage liqueur glasses ...