She accidentally touched the freshly written words with her hand and smudged the ink.

smudged 是动词 smudge 的过去式，smudge 的意思是"弄脏、弄花、使模糊"，特指使字迹、图画等变得不清晰。这里指不小心碰到刚写的字导致墨水晕染开来的情况。