To solve the expression $- \left( \frac{3}{5} \right)^{-2}$, follow these steps:

1. Apply Negative Exponent Rule: $\left( \frac{a}{b} \right)^{-n} = \left( \frac{b}{a} \right)^{n}$ So, $\left( \frac{3}{5} \right)^{-2} = \left( \frac{5}{3} \right)^{2}$

2. Square the Fraction: $\left( \frac{5}{3} \right)^{2} = \frac{5^2}{3^2} = \frac{25}{9}$

3. Apply the Negative Sign: $- \left( \frac{25}{9} \right) = -\frac{25}{9}$

Therefore, the solution is $-\frac{25}{9}$.