I like studying wildflowers.

Literal

Wild [gen-の] flower [gen-の] research [subj-が] likable [copula-だ].

好きだ as a na-adjective takes its liked object with が, not を — the classic が with stative predicate pattern learners often misconstrue. Here the whole phrase 野生の花の研究 ('research on wildflowers') is the liked thing. Stacked possessives with の are easily chained.