Enum Naming Convention – Plural

Microsoft recommends using singular for Enums unless the Enum represents bit fields (use the FlagsAttribute as well). See Enumeration Type Naming Conventions (a subset of Microsoft’s Naming Guidelines).

To respond to your clarification, I see nothing wrong with either of the following:

public enum OrderStatus { Pending, Fulfilled, Error };

public class SomeClass { 
    public OrderStatus OrderStatus { get; set; }
}

or

public enum OrderStatus { Pending, Fulfilled, Error };

public class SomeClass {
    public OrderStatus Status { get; set; }
}