Hearing that she is already recommending meds on the surface kinda strikes me as a bit aggressive, however you did also call her twice for additional support since the first session. When I notice myself reaching out so much so fast to a therapist, I generally need more support. It sounds like you might be at that point. I think then meds may be something to look into...
I would also like to echo the question of why she thinks 3-5 sessions would be enough to see significant improvement. Some things can be addressed by brief therapy, but generally depression and self esteem issues are not that quick to respond. Perhaps look into a second opinion? But also at the same time think about the potential benefits from meds (unless you have prior bad experiences with meds, then just go with a second opinion). Good luck