I would reword “I’m starting to get anxious about housing” to “the lack of communication has cause quite a bit of anxiety as we are scheduled to move out of our current residence on the 17th and had plans to move into the current rental the same day” and then also remove the last sentence “I’m just getting stressed about it” and just say “I look forward to hearing from you”
i think you could be less apologetic and keep the message more brief. it’s her job to get back to you. “good morning. i’m following up to confirm my lease. i’m scheduled to move (etc..). my roommate and i are prepared (etc…). can you please let me know when to expect it (etc…). …have both been very helpful.” and then send. the (etc…) are the sentences i would keep and not change
My roommate and I are fully prepared to sign the lease and pay, but we still haven’t received the lease from you. You mentioned it would be sent several times this week, and I’m really worried about running out of time. Can you please let me know when we can expect it, or if there’s anything holding things up? Thank you, and you and Emily have both been very helpful. I’m just getting stressed out about it. (2/2)