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According to your description, you have encountered a problem with Outlook rule management. Here are a few steps you can try to resolve this issue:
1.Went to OWA and logged in to the mailbox Deleted newest created rule.
2.Export the rules out to local file>Delete all the rules.>Restart outlook.>Open Rules again, if you see (client-only) rules again delete them all.>Create any simple rule and save it.>Restart Outlook>Open Rules, this time you will be asked to choose which rules you want to use "client" or "server" choose client.>Import the saved rules.
3.If that doesn't work, try recreating a new Outlook profile.
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