Spitefully is the adverb of spiteful: it describes doing something in a deliberately nasty way, meaning to hurt or upset someone. Because it is an adverb, it attaches to the action rather than the person — 'he spitefully deleted her files', 'she laughed spitefully'. The judgement is the same as in spiteful: the hurting was intended, it is usually petty rather than grand, and the speaker clearly disapproves. It is a slightly literary word; in ordinary spoken English people are more likely to say 'out of spite' — 'he did it out of spite' sounds more natural in conversation than 'he did it spitefully'. You will meet spitefully most in novels and reported writing, often attached to a verb of speaking or a small cruel act. Watch the position: like most manner adverbs it can go before the verb, after the verb, or after the object, and all three are fine.

惡意地、故意刁難地、記恨地。口語裡台灣學生更常會用得上的說法是 out of spite（出於報復、故意的）。