Avoiding Action is just that: Action to avoid a collision with another aircraft!! Spilling the G&T should be the least of your considerations!
There was AAIB criticism recently of pilots in CAS responding to avoiding action turns by twiddling the Heading knob and turning at Rate One as already highlighted. They pointed out that the expectation was that pilots would maximum rate turn/climb/descent in accordance with the instructions. We assume that this is the case, for example if we call for an avoiding action descent that you will disconnect the A/P and push on the control column ASAP, not select a new FL and LVL CHG and wait for the nose to lower gently!
An 'avoiding action' turn in class G to achieve 5 miles/3000ft under RAS might be a different story...