Hmm...How do I way this? Force and field are related concepts but not entirely the same thing.
First of all you would be right to say that the field in some space would be altered if you introduce a test charge or any charge for that matter into the "picture" and if I throw in another charge into the space, the field will change as a result. However when you measure a field, what you are essentially doing is probing the force per unit charge that your test charge experiences due solely to the contribution of the other charges in the system. You must remember that the an object cannot exert a force on itself .
I'm terrible at explaining stuff but hope this helps!