faddy
adjective
British, informal
offering a varied diet can be difficult when a child is faddy:
fussy, finicky, difficult/hard to please, over-particular, over-fastidious, dainty, exacting, demanding, selective;
informal choosy, picky;
British, informal pernickety, faddish;
North American, informal persnickety;
archaic nice, overnice;
rare finical.
faddy Oxford Dictionary of English