You know how when someone asks you if you love or your in love with someone (You love your mum, You're in love with your wife - hopefully), she was asking a gesture like that, I think. She knows you need the dogs, but do you need her too? I don't mean need her like the support of the dogs although if you do that's fine, I mean need her in the way she needs you. She doesn't want to be in a relationship with someone who doesn't care about her, and your PTSD may make it seem like you don't care, or that you're too wrapped up in your own problems for her but that may not matter if she knows that beneath all the external problems and most of the internal ones, that you care about her.
She's jealous of the support of the dogs and wants to be higher on your priority list and she can't seem to get that through to you, I think. By making bold statements of support rather than pulling you closer it pushes you further away. It's like her saying: "You're my whole world, I'll do everything for you, I'll support you and be there for you every step and through every moment good or bad, if only you'd let me, if only you'd trust me enough to let you see how much I care for you." Except you've taken it the wrong way and/ or maybe she really is completely and utterly jealous of the dogs but could you see why? Do you care for them more than her. A girl needs to feel a little love, a little reassurance, especially if she feels (that doesn't mean is, it's just what she believes) that she is giving up everything for you.
She can't even begin to understand unless you at least try explain it to her. That means the dogs, the feelings underneath (or lack of), the PTSD, everything. When someone gets married or engaged, they don't want a part of that person, they want all of that person, good and bad, all the risks involved. I think she feels that the dogs stop that because you rely on them and that's ok, but she wants you to at least be able to rely on her too. She wants to peel away a layer and get closer to you. To know you better. She wants all of this for you BUT she also desperately wants this for her too. She wants you to care back. She wants to understand you and by stripping away the protection of the dogs, maybe she feels she be closer to you and you will share more with her. She's scared like you but for different reasons and she just wants to feel loved and useful.