Screen printing emulsion is quite sensitive to UV and blue light. The lower the light energy, the lower the effect on the emulsion. However, it is much less sensitive than photographic emulsions.
It is common in wet-process photography (or was, back when that existed) to do a test exposure. You set up a test lamp, and a sensitive surface. You cover the sensitive surface, turn on the test lamp, and uncover the sensitive surface a little bit more at time intervals. Then you process the sensitive surface and you will see shades of exposure corresponding to the amount of light it got. This tells you how long you can work under that lamp before exposing things.
That being said, screen printing emulsion is dramatically less sensitive than photo emulsion. The standard exposure for screen emulsion is to give it something like 15 minutes in front of a high intensity arc-lamp. I suspect that a 60W incandescent bulb would not affect it for long periods of time. Just be sure to dry the coated screens in the full dark.
Even better, read the instructions on your emulsion can.