From my perspective all spiritual paths are like cultures with languages in which we learn to express our spirituality and attempt to hollow out what holds us back from living to our fullest capacity. Sometimes the first we find (by upbringing or exploration and commitment) serves us for life and we don't feel the need to seek further routes. Others take two or more paths towards finding a unique expression of creator/creation. There is no incompatibility I have found so far, between druidry and reiki, to answer your original question. Indeed I happen to think being spiritually multilingual and with a large toolbox of available resources to offer, is a great thing as it allows many forms of access by people who might fear or write off any one or more of what you have experienced as positive practices. Being true to yourself is the key here, not which is right or wrong
When you go to a reiki share however, you are voluntarily stepping into a group within a lineage and tradition in which wands are not used or understood, and you therefore risk creating ripples of unease/distrust among those who practise only reiki and reducing the benefit to them of the healing experience in the process. It's like you're going into a Spanish group and speaking mostly Spanish but every now and then you come out with something in Russian - your conversation with them becomes distracted and whatever your intention, this doesn't create alignment to healing. So, personally, I would follow the practices of pure reiki (without your wand) in this group to maximise their(and your) healing experience, not to conform or submit, but simply to support the intention healing in a way they will accept at this time.
I also know from experience that the energies you use will be interesting to weave together and dance around to find your personal way of expression, I just advise doing this somewhere where you have space to experiment without causing others fear or separation as I am sure this is not what you would intentionally set out to do. I have also found it worth maintaining the ability to move purely within one or other tradition as a matter of choice; each strand of my rope serves best if it has its strong natural form and hasn't become frayed by forgetting the discipline that created it
I feel lucky that druidry offers a great home to all us complex and creatively woven folk who look at multiple strands as equally beautiful ways to express creator/creation and seek to find our own way of making the colours mix into a unique pattern that is our personal expression of spirit in form.