How can I remove this (With picture...wire clip?)?
The white part is a JST connector, plugged into a JST socket. To separate them, you simply need to gently pull the two connectors apart.

I've highlighted the two different bits of the connector that will separate (plug in green, socket in red):


When trying to unplug them, do not pull on the cables. If you pull on the cables, you will either damage the metal contacts (crimps) in the connector, or dislodge the cables.

Instead you should try to use a small flat head screwdriver (e.g. jewellers screwdriver) to gently pry the two connectors apart. You should be able to pry between the lip of the plug highlighted green.