I consider my practice to be primarily Celtic Reconstructionist Paganism. This, however, does not in any way prohibit me from worshipping other deities or working with spirits outside of the insular Celtic world or its paradigms. I am a polytheist. I believe that all the deities and spirits exist somewhere, that they are all real and can have an effect in the lives of their followers. There are deities and spirits that I'm not particularly interested in, but this doesn't mean I don't think they're out there.
As a polytheist and someone who does a good bit of Otherworld work, I find myself in a place where the doors are often open. Sometimes the spirits ask things of me that I expect. Other times, their requests bring me up against difficult choices and take me places that I never expected to go. A Cherokee teacher who lives locally once said to me that spirits talk to people who listen, and that our bodies and our ancestry are not of particular concern to them. This helped me immensely with an issue I struggled with for about twenty years, but it also has bearing on European and other Pagan paths.
As someone who does Otherworld work, who speaks to spirits, and who treats with deities and the dead, I often find myself in relationships with deities who are not a part of the families of insular Celtic deities. I honor Gods and Goddesses from several continents in my home. I have shrines for Sarasvati and Ganesh. I offer honor to Buddhist entities. As a child I was fascinated by the deities of Greece and Egypt. Spirits of the land -- animals, plants, places -- have no "nationality" or "race" and they are simply what they are. When I do healing or visionary work for others, it is right and necessary to speak to and honor the deities and spirits that they honor, for they often will approach me and teach me how to help the person in a way they understand.
No culture and no religion has ever sprung from a vacuum. Each spiritual path that exists in the world today -- that has ever existed -- has been influenced by its neighbors. As a polytheist, this becomes an important part of my spiritual reality. And as someone that listens to the spirits, sometimes someone new and unexpected drops by. As a good Celtic Pagan it would be a violation of my practice to refuse them hospitality, just as it would be poor form to turn away the friend of a friend who came to my door unexpectedly with an introduction and a request.
It's important for us to remember that we have room for more than one culture's deities at our table. Joy and wisdom can be found in the cross-cultural pollination of such conversations and relationships. When Garuda sits down with Exu, surely something interesting is about to happen.
By this I'm not talking about randomly inviting deities from multiple cultures to a ritual and expecting them to work together and cooperate. But if they show up at the same time unasked, perhaps there's a message there for me. The universe is a very big place, and attempting to place limits and conditions on it from my particularly small human point of view is, perhaps, an act of hubris. I'm not going to sing a chant that equates all Goddesses with one singular Goddess, but if I have relationships with Brighid and Sarasvati the fact that they have similar interests means they might be willing to come and visit at the same time. They might even be willing to share altar space if there's very little room where I live.
Polytheism, done with respect and due caution, can be a freeing way of approaching deity. If someone's knocking, don't be afraid to answer the door.