Your director posts the new plan in the team channel. You can see the problem right away. The timeline depends on a vendor who is booked until next month.
Saying nothing feels safe. It is not. The problem will show up later, and then it is yours too.
Disagreeing in public with someone senior is mostly about the frame. You are not saying they are wrong. You are adding a fact they may not have.
Keep it to the one issue. A list of five concerns reads as resistance. One clear fact reads as help.
If the stakes are high, send it as a direct message first. That gives them room to change course without an audience.
There is more on this in Grais's note on pushing back on a senior stakeholder without sounding defiant.