Are you unable to boot Windows 7 as a result of removing the Recovery Partition, or is something else the apparent cause?
Let's try to repair your Windows 7: burn a Repair CD, boot it to accept any offered Repair. If it fails to start, boot back in to run Startup Repair up to 3 separate times until it starts. Startup Repair - Run 3 Separate Times Repair CD - System Repair Disk
If it fails to start then, boot into Command Line to use Diskpart to mark the Windows 7 partition Active, then try the 3 Startup Repairs again. Partition - Mark as Active
If you are concerned about how Acer will receive your hardware replacement RMA with the Recovery partition removed, I would call and ask them directly. If they say it is a problem, ask them to send your the Recovery Disks to prepare it for shipping to them. This is done by Acer for free within first 90 days, afterwards only for shipping cost.