In particular, do you want to "measure the delay and throughput of Wireshark", meaning "how many packets per second can Wireshark dissect, and how long does it take to dissect a packet", or do you want to measure the delay and throughput of certain network traffic by capturing that traffic and analyzing it with Wireshark?
Your question is unclear, can you try to rephrase it?
In particular, do you want to "measure the delay and throughput of Wireshark", meaning "how many packets per second can Wireshark dissect, and how long does it take to dissect a packet", or do you want to measure the delay and throughput of certain network traffic by capturing that traffic and analyzing it with Wireshark?
measure both of them