besmudge
/bɛzˈmʌdʒ/Definitions
1. verb
to cover or soil with dirt, grime, or smudge.
“The smudge on the lens was carefully besmudged by a gentle cleaning.”
2. verb
to obscure or dim (light) by spreading dirt or smudge over it.
“The besmudged lens made it difficult to focus on the subject.”