It is just il paint it will smell 'painty' for a while them go away. It is not great to breath but when i paint in the winter I just crack the window a bit. Sometime with big projects I'll paint in the garage (it gets cold here 14ºF tonight) and just bite the bullet and run a heater over night (tarped off a section of the garage to save some heat) after that it usually is dry to the touch (8 hours) and it can be brought inside the majority of the fumes gone. to finalize the end.

If you are concerned and this is not possible latex paint is likely best, every persons situation is different and we have to do the best we can inside what we are able.