Step 1: Picture the ovum at ovulation.
At ovulation, the Graafian follicle ruptures and releases the secondary oocyte, which is wrapped in protective layers.
Step 2: Recall the layers around the oocyte.
The innermost acellular glycoprotein coat is the zona pellucida, and outside it lie the follicular cells called the corona radiata.
Step 3: Rule out chorion.
The chorion is an extra-embryonic membrane that forms much later during embryonic development and helps make the placenta, so it does not cover the ovum at ovulation.
Step 4: Rule out endometrium.
The endometrium is the inner lining of the uterus, not a covering of the egg, so it is wrong.
Step 5: Rule out zona radiata.
Zona radiata refers to striated egg membranes in some non-mammalian vertebrates, not the standard mammalian covering.
Step 6: Choose zona pellucida.
The acellular glycoprotein membrane directly covering the oocyte at ovulation is the zona pellucida, which the sperm must penetrate during fertilisation.
\[ \boxed{\text{zona pellucida}} \]