Quick question about praying individually at the mosque before the congregation starts!

Assalamu alaikum! I'm a sister who recently reverted to Islam, so I'm still learning a lot. Today after work, I'll be far from home and have an appointment that means I can't pray at my usual time. I thought the best solution would be to pray at the mosque, but I won't be able to stay for the congregational prayer because it starts just a few minutes before I need to leave (Asr is at 4:27, the iqamah is at 4:45, and my appointment is at 4:50). I know praying in congregation isn't obligatory for women, but is it alright if I go to the mosque and pray by myself right at 4:27 without waiting for the congregation? I hope that makes sense-thanks in advance for any advice!