0xC0000035 stands for STATUS_OBJECT_NAME_COLLISION, which means two objects names collide.
First of all, before going further you should confirm that the logger is actually working:
Open Control Panel -> System -> Administrative Tools -> Performance Monitor.
Under Data Collector Sets -> Event Trace Sessions, verify that the Context Logger is running.
If it is running, there isn't really a problem; so you should just filter or ignore the error and move on.
If there is however a problem, you can try some suggestions or analyze the prolem in more details:
Check what happens with the log files by using Process Monitor and look at
C:\PerfLogs\Admin and also pay noitce for any other failing operations when you restart the Context Logger yourself.
Use API Monitor and hook into the object name related functions or modules, this requires research...