Temperature of the room and doors is what matters

What really matters is the temperature of the room you are painting in and the doors as well. Also proper verntilation may be an issue if you are using an oil paint.

You did not mention whether you were using a latex or oil based paint. Nevertheless, what follows below is applicable to both. It may be more important if you are using an oil based paint. The manufacturers label on the paint can is the last word, especailly when it comes to ventilation if you use oil paints.

The problem with oil based paints is that they really smell and can make you sick if you don't have proper ventilation. Buy a good mask and strive for a temperature above 50 degrees and keep the humidity low. Better to sacrifice the doors rather than your health though.

Most manufacturers will tell you that the minimum temperature of an interior room and surface should be at least 50°F (10°C). This is printed on the paint can. (You may need a magnifying glass to read it).

That is cutting it too close in my opinion. Besides affecting how easy the primer and paint will go on thesurface, the temperature of the room and doors will affect the drying time and how well the paint adheres to the surface. We suggest you warm or cool off the room to 65-70 degrees the day before you paint. Place the primer and paint in the room too so it is at a good temperature when you begin to paint.

Most paint manufacturers state the drying time on the paint can. Here's an example with Benjamin Moore Paint Primer:

Dry Time @ 77°F — Set To Touch 6 Hours
(25°C) @ 50% Relative Humidity — To Handle 8 Hours
— To Recoat Overnight
for sanding or topcoating.

So if the room and doors are colder or too hot or it's too humid, it will take longer to dry. Be especially patient with primers. They really need to dry
well to do their job well and create a good surface for your paints to adhere to. Leave the room temperature set to 70 a good 24 hours after your final coat.