Is territoriality only the domain of the male of a species?
Absolutely not.  In many spiders and insects, the female holds the territory.  Many spiders for instance have much larger females than males - in these species the female can be > 10x bigger than the male and the male may not even eat during its lifetime.  

Ordinary garden orb weaving spiders are this sort of animal.  Only the females even spin webs.  

Another example is the Australian red back spider.  

Quite often males are the 'disposable sex'.