Minimum example:
# -*- coding: utf-8 -*-
import requests
xml = """<?xml version='1.0' encoding='utf-8'?>
<a>б</a>"""
print requests.post('http://httpbin.org/post', data=xml, headers={'Authorization': 'a', 'developerToken': 'b', 'clientCostumerID': 'c'}).headers
The headers are not set.
You are already using the httpbin.org service, it returns you a JSON structure that includes all headers it received:
When I run the above code, I get: