。
She felt like watching TV.
Literal
She [topic-は] TV [object-を] watch mood [to-に] became.
The pattern Vる＋気になる ('come to feel like doing X / be in the mood to do X') is a productive frame for describing the emergence of motivation or willingness. Built from the noun 気 ('spirit, mind, mood'), なる ('become'), and the adverbializer に. Compare with the negative 気にならない ('not in the mood'), and the potential-negative 気になれない ('cannot bring oneself to do'), where the same construction shifts from emerging desire to blocked desire. テレビ is a clipped loanword from English 'television,' a typical pattern in Japanese loanwords from the early 20th century onward.