’kawatte iru hito' is correct.
'kawatte iru' is a conjugation of 'kawaru', not an adjective. It modifies 'hito'. ('shiranai' also modifies 'hito',)
'verb -te iru' is used to show:
1. a present-progressive action (is doing)
ex. watashi wa ima asa gohan o tabete imasu. (I am eating breakfast now.)
2. a habital action
ex. watashi wa mainichi nihongo o benkyou shite imasu. (I study Japanese every day.)
3. a current state
ex. watashi wa Tokyo ni sunde imasu. (I live in Tokyo.)
In this case, 'kawatte iru hito' shows a current state.
i wonder if i ask too many questions? - 'watashi wa shitsumon o shisugiru to omoimasu ka?'
- No, I don't think you do. - 'iie, sonna koto nai desu yo'
benkyou ganbatte kudasai.