Near rhymes:
* Shepherd: This is the most common and closest rhyme, though it refers to a specific type of herder (sheep).
* Border: This works if you're focusing on the herder's role as a protector or guardian.
* Recorder: This is a stretch, but it could work if you're using the word metaphorically, suggesting the herder's job is to document or chronicle the cattle's movements.
Eye rhymes:
* Murder: This is a strong, but potentially jarring, rhyme due to the word's negative connotation. It might work in a poem or song with a specific tone.
Other options:
* Cowboy: This is a related term, but not a perfect rhyme.
* Rancher: This is also a related term, but not a perfect rhyme.
Ultimately, the best rhyme depends on the context and desired effect of your writing.