Wrong. When making general statements in Spanish the definite article is ALWAYS used - e.g. Me gusta el té. So saying 'the' in English is incorrect. DL is wrong. Also why do so many students get confused about DL phrases? They mean what they say, no matter how strange they sound.
Because that would make no sense unless The Tea is a person.
I believe that what you are reaching for here is the idea that the tea is a variety originating in some area. The problem is that there are dedicated words for that idea in Spanish to express that idea (como nativo(a), u originario(a)), and even more commonly that idea would be expressed as <<El té es de aquí>>.
When it comes to secondary meanings to word, you need to be careful, because those are most often dialect specific or uses that are highly contextual and often not directly translatable. Your misunderstanding of natural as a parallel of "native to" is an excellent example of this language trap. The only time that natural would be translated as "native to" applies to persons when they are describing their ancestry: Mis abuelos son
naturales de Italia or origins: ¿De dónde es usted
In a related usage, the noun version of natural can mean indigenous people, but it is never used to describe anything other than people in that sense.