Usually for any visas, embassies require you to have 6 months Qatar RP and your passport to be also valid for 6 months. You should try to find this out from the embassy before your appointment. If you cannot get in touch with them, better to renew your RP here, and not risk any rejection from them. If you give a good reason to your company, I think they should not have any problem to renew your RP, it can be done same day.
Usually for any visas, embassies require you to have 6 months Qatar RP and your passport to be also valid for 6 months. You should try to find this out from the embassy before your appointment. If you cannot get in touch with them, better to renew your RP here, and not risk any rejection from them. If you give a good reason to your company, I think they should not have any problem to renew your RP, it can be done same day.