The person asked OP to move in with him. If he had stated that she could stay there for a month while she waited for another place to be availaable then he might be able to just kick her out. He clearly did not intend for it to be a temporary situation in the OP's case.
I'm not going to argue the facts with you. As I tell Zigner all the time, we know next to nothing about the facts, so it's ridiculous to speculate. All we can do is provide the law and say "maybe this" or "maybe that."
That said, "temporary" has nothing to do with it. A person could be a tenant for a month, or a licensee for a year. I can point you to a case where a girlfriend was deemed a licensee, rather than a tenant, after living in her boyfriend's house for
5 years (that was an Iowa case I believe).
The law is not simple, and you cannot possibly pick it up on the fly by using Google.
To you, I suppose a tenant is just somebody with a contract. To a lawyer, a tenant is somebody with a leasehold estate, and his right to possess the property is superior to all others (including the landlord) during the duration of the lease. A leasehold estate is an actual interest in property, just as a fee simple or life estate is an interest in property. Property interests must be
intentionally conveyed from one party to another. People don't just stumble into tenancies. When a landlord conveys property to a tenant, the landlord is giving up his right to possess the property in favor of the tenant for the specified period of time. For all of the above reasons, landlords cannot enter rental units whenever they feel like it, and tenants must be evicted in court when they breach their leases.
A licensee is a guest with no right of possession and no interest in the property. As a license holder, he is permitted to be on the property only until his license is revoked by the person with lawful possession (for example, a tenant). Such a license can be revoked at any time and for any reason. If a licensee does not leave when his license is revoked, then he becomes a trespasser. At no time does the person with lawful possession ever give up his right to possession in favor of the licensee. For all of the above reasons, licensees cannot prevent the person with rightful possession from using the property (as a tenant could a landlord), and licensees do not need to be evicted in court when their licenses are revoked.
If there were no distinction between a licensee and a tenant, then you would either have to formally evict your buddy in court the next time you invite him to watch the Super Bowl and he doesn't want to leave, or your landlord could kick you out of your apartment on a whim whenever he feels like it. Since neither situation is acceptable, you can see that there absolutely must be a distinction between a licensee and a tenant.