no. she is not going to kill cook or hard-boil those ovarian eggs. she is more likely to burn her belly. it would be a good idea to put a pillow or one of those special laptop trays to dissipate the heat from her computer use a table or not say on for so long. when she ovulates (once per month) her eggs will be safe.
is it possible for a woman to "kill" her eggs by putting a hot laptop over her uterus? (not on purpose)