I'm just echoing what the other answers are because this cannot be stressed enough:
Communication, communication, communication.
What you are entering into is also known as a queer-platonic relationship or QPR. It sounds like both you and this lady friend are straight and with heteronormative relationships there are a lot of unwritten rules that people just know and add shortcuts to determining roles in the relationship (like men are expected to be the more decisive partner when it comes to planning out dates). These unwritten rules lay a foundation of expectations that isn't present in non-hetero relationships because queer individuals do not have all of that societal backing that hetero relationships have.
In my experience of polyamory I've had a concurrent QPR and a "normal" relationship. My QPR ended while my other relationship with my girlfriend is staying strong. My QPR failed because we had terrible communication and ultimately discovered that there just wasn't much compatibility. With my other relationship, we made it a goal at one point to have a monthly discussion on how our relationship was doing in our own opinions and if we needed to reset any boundaries. I thoroughly believe it was our commitment to being open and honest that has kept our relationship alive.
There are some resources online that are pretty helpful in facilitating communication. The ones I have used are the Physical Boundaries Checklist which lists every body part and what extent of physical contact are ok for each part.
The other is the Relationship Request Form which is a cute form that helps cover all of the bases:
These may seem silly because it's not as necessary in typical relationships given the common tribal knowledge, but you may find that these will help you immensely when proceeding with these kinds of relationships. What I have done in the past is sit down with the other individual (or Skype if you are doing the long-distance thing) with one copy for each individual. We each filled out the forms, shared with the other individual, and asked for clarifications as needed. It was a little awkward at first, but I felt much better afterwards because the boundaries were set.
After the initial conversation, it is good to have an occasional check-in to determine the "temperature" of the relationship. For me, it tends to be a casual "Hey how are things going on your end?" and the conversation is done in minutes if feelings haven't changed. I find that getting into the habit of asking "Can I get a temperature check" keeps the conversation low-key and doesn't feel like it is interrupting the current activity (this is something that my group of friends do when playing D&D or watching movies, etc).
Good luck with your adventures! :)