First, we need to calculate the total cost of the two rings. Each ring costs $0.25, so:
\[ \text{Cost of two rings} = 2 \times 0.25 = 0.50 \]
Now, we can subtract the cost of the rings from the amount of money Jenna has:
\[ \text{Money left} = \text{Initial amount} - \text{Cost of rings} = 4.65 - 0.50 \]
Calculating that gives:
\[ 4.65 - 0.50 = 4.15 \]
Therefore, Jenna has \( \boxed{4.15} \) left.