Is my landlady being unreasonable about these sub-tenants?

I’m moving to go to grad school. I still have two months left on my lease. My landlady told me I have to sublet the place. I found two people who want to rent it. My landlady won’t let me rent it to them because they do not want to move in as a couple, but as roommates. Is this unreasonable?

They want to split the house so that the equal sized bedroom and living room (both very large) act as bedrooms. I currently have this set up anyway as I use my old bed for a couch.

I found a website that says :

Can I sublet my apartment?
Yes, and your landlord cannot charge you any subletting fees. Furthermore, if your landlord does not let you sublet to a suitable person, you don�ft have to pay rent for the period that begins when the subtenant was willing to move in.

Would this count (ie, is this unreasonable on her part) or am I out of my mind to ask to begin with?