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Matt That would violate her consent in my opinion, and I'm not sure I want unchecked power over her outside of a situation where she can safeword at any time.
I'm not trans, but I can speak from a BDSM perspective.
If she uses her safeword, you let her out and talk. All power exchange stops instantly.
When you try to make some part of a BDSM relationship 24/7, something else that can be useful is the concept of "straight time." This can be scheduled or by request. The idea is that this is a special time outside of time when you talk as equals and say what you really want without any role playing. Maybe she really wants you to keep her locked up no matter how much she begs. Maybe she's having some real difficulties and would like a break. Maybe you feel uneasy about something you are doing to her and want some straight answers that you know aren't part of a role play. During straight time you two can communicate directly, and then back in the power dynamic you can make decisions with more knowledge about how she feels and what she needs. This also lets her tell you when things are genuinely overwhelming her so you can back off and avoid creating a situation where she needs to safeword. This doesn't mean you always do what she wants, but it does mean that you have a better understanding of what she wants and how close she is to her limits when you decide to push her.
Your girlfriend clearly trusts you to be a caring and responsible dom, and based on the questions you are asking I think you would be.