。
She was fined $10 for that.
Literal
She [topic-は] that matter [for-で] fine [object-を] 10 dollars was-imposed.
課せられる is the passive of 課す ('to impose, levy, assign'), used with formal weight for fines, taxes, duties, and assignments — anything formally placed on someone from above. The で here is causal — 'because of that matter' — distinct from で-of-location or で-of-means. １０ドル uses ドル as the loanword for 'dollar' (the dedicated currency word, since the native 円 only covers yen). The number-currency phrasing places the amount immediately after the verb's object 罰金, a typical Japanese rhythm for adding precise quantification.