Hi @Wonderland.17,
I’m right there with you in that egg cleanses/readings aren’t my usual form of divination, but it sounds like your intuition is trying to reach out to assist. If you haven’t already, I’d recommend writing down the feelings and thoughts that are coming through to you. Get them all down on paper! Then, later, you can go back in and search for any reoccurring themes or key thoughts that resonate 
Egg cleanses aren’t my specialty, but I know there are a few oomancy experiences shared in the forum with some additional thoughts and resources. You might check some of these discussions for some tips to help you interpret your egg cleanse :
- Step-by-Step -- Egg Cleanse
- Oomancy (Egg cleansing)/ Yolk egg Interpretation
- How do I read this egg cleansing I did?
A tall and strong flame is usually interpreted to be a good sign - if you sense another presence (and it feels safe to do so) you might consider reaching out! Since you cast with the intention of connecting with Hekate, it may be Her making Herself known 
Blessed be!