Student or Learner
I would like is it right to say: "I am waiting your reply as soon as possible"
to express for hurry reply.
I look forward to hearing from you as soon as possible.
Please reply as soon as possible.
We don't usually say "I'm waiting for..." when asking people to reply. It sounds a little impatient, as if you are sitting at your desk, tapping your fingers, waiting expectantly for the email/call to come!
However, we do sometimes say "I await your urgent reply". This expresses the urgency of it!