From the
Model Mayhem FAQ:
How can I change or update my Google search results?
First, check your privacy settings, in My Stuff under the main Settings menu. We offer many different privacy types for your account, including not being listed by search results.
Please note, if you choose this option after having a publicly available profile, your profile will appear in search results until the cache for results is updated by the search engine.
If you are concerned about your real name being associated with your profile, change your display name to something else and do not mention your real name anywhere on your profile. Without the words from your name, your profile cannot be associated with them.
If you have specific images you do not want to appear, you will need to remove them altogether or subscribe and put the images in an album with privacy settings engaged.
If you want your results deleted, please see the FAQ on getting Google to delete or update results and images.
You may also find this Edu article helpful:
https://www.modelmayhem.com/education/using-mm/11894-why-is-my-model-mayhem-profile-in-google-search