I like the suggestions made so far. However, I'm not sure if the religious angle should be totally ignored. Isn't that the problem? Dealing with an occasionally rude manager isn't that big of an issue for most people. It's different if that rudeness is prompted by your right to exercise your freedom of conscience and results in unfair treatment. There's a danger that you could be viewed as complaining about something trivial if you leave that out. If it escalates, it could then appear like you are grasping at straws if you then bring up the religious angle. Here is how I might handle it, in case it gives you any ideas.
Dear Office Manager,
I feel obligated to report certain difficulties I have had with Ms. XYZ at the rental office. I believe she has treated me in a rude and discourteous manner. (Provide dates and brief description.)
I felt the need to document these incidents in the event that further discourteous behavior takes place in the future. The manner in which I've been treated leads me to anticipate that this may continue.
If this is part of a general pattern, then you have likely received other complaints and will be able to determine what action is needed to prevent this inappropriate conduct from recurring. However, if this rudeness is directed to me personally, then you may be uncertain about how to respond to my complaint. I realize the difficulty of taking action in light of a single person's description of the tone of two isolated incidents. Of course, I will continue to document any further inappropriate incidents, even by recording phone calls, if necessary. However, I will now present more precise details that may clarify the nature of the problem and suggest how it may be remedied.
In addition to simple rudeness, Ms. XYZ responded inappropriately to our request to make arrangements to collect our pool passes. We were told that we would have to come to the office during office hours to pick them up. When we said that this is impractical due to our work schedule, she only offered the accommodation of picking them up at her apartment, provided our children complete the transaction.
I view this as evidence that this rude behavior is directed at me personally. I don't believe it is appropriate to require a third party to act in my behalf when dealing with the office manager.
I am merely seeking fair treatment. Would it be possible to simply have the passes slid under my door or mailed to me? If this is a reasonable accommodation that would normally be granted to other residents, then I would appreciate that this be done in order to solve the immediate problem of the pool passes. If not, please notify me of my remaining options of getting the passes.
I hope that this problem will not persist. I will be satisfied if this discourteous behavior stops and I am treated in a fair and equitable manner in the future.
I realise that Ms. XYZ belongs to an organization that instructs its members to socially ostracise and avoid people with my beliefs. She is free to do so, if she wishes, provided it doesn't interfere with my rights as a tenant. I have no quarrel if she wishes to avoid me outside of necessary interactions as part of her job. I dislike bringing this up, even though I have documentation to support this. I believe it may provide an explanation for her unusual behavior.
In any case, I am hopeful that this situation can be remedied in an efficient and professional manner.
Thank you.