To determine the minimum number of states required for a deterministic finite automaton (DFA) that accepts the regular language L = {w1aw2 | w1, w2 ∈ {a, b}*, |w1| = 2, |w2| = 3}, we need to analyze the structure of the language and identify its key properties.

1. Understanding the Language:
The language L consists of strings in the form w1aw2, where w1 is any string of length 2 consisting of 'a' or 'b', and w2 is any string of length 3 consisting of 'a' or 'b'. The 'a' in the middle serves as a separator.

2. Constructing the DFA:
To construct the DFA, we need to consider the possible transitions and states based on the language properties.

- State 1: Initial state. It represents the start of the string.
- State 2: After reading the first character of w1. It represents the state where the first character of w1 is accepted.
- State 3: After reading the second character of w1. It represents the state where both characters of w1 are accepted.
- State 4: After reading the 'a' separator. It represents the state where the separator 'a' is accepted.
- State 5: After reading the first character of w2. It represents the state where the first character of w2 is accepted.
- State 6: After reading the second character of w2. It represents the state where both characters of w2 are accepted.
- State 7: After reading the third character of w2. It represents the state where all characters of w2 are accepted.
- State 8: Final state. It represents the end of the string and acceptance of the language.

3. Analyzing the DFA:
- The DFA has 8 states in total, from initial state 1 to final state 8.
- The DFA has transitions from state 1 to state 2, from state 2 to state 3, from state 3 to state 4, from state 4 to state 5, from state 5 to state 6, from state 6 to state 7, from state 7 to state 8, and from state 4 back to itself for 'a' input (loop).
- The DFA accepts the language L when it reaches the final state 8.

4. Conclusion:
The minimum possible number of states of the DFA that accepts the language L = {w1aw2 | w1, w2 ∈ {a, b}*, |w1| = 2, |w2| = 3} is 8. Therefore, the correct answer is option C.