You need to change the priority of the web crawler. No, it's unlikely to be the tmux. Probably, tmux will have a child bash whose child will be the program.
I would usually look up the pid from the program name, but otherwise, running `pstree -p` should allow you to hierarchically find it without knowing its name.
You can renice the processt with renice(1), eg:
renice 5 1234
or. more verbosely,
renice -n 5 -p 1234
would renice process 1234 to priority 5
It is also possible to do that from within `top`, just press `r` and answer the two prompts asking for the pid and the new nice value.