Hi
If it is just glue ear, then it could resolve itself spontaneously, hence the 3 month standard wait and retest prior to referral to ENT. I would suggest waiting the 3 months but in the meantime push for the BoneConduction ABR test with audiology to be done as soon as possible.
The reason for this is that with "just" glue ear, that once sound exceeds 60dB (the level of a clear spoken voice at about a meter away) then the effect of muting the sound due to glue ear is over-come. Most children of your daughters age pick up most of their language while sitting on a parents lap, with story time etc, so just using a clear voice (not soft and gentle) makes all the difference.
You say "she doesn't make any speech type sounds, she can't hear a thing at home, and is really falling behind with her verbal communication" this seems to suggest more than just glue ear. If there is an underlying sensory hearing loss, this needs to be established as soon as possible for intervention to help. Or if there is a problem with speech and language development, this too needs establishing as soon as possible.
For this reason I would be asking if your audiology / ENT department would be willing to do ABR under general anaesthetic. It is not liked by most places, and generally reserved for children with special needs that cannot cooperate with standard testing, but it is possible to request it. I doubt that you would be able to get this done privately.
Grommets only last a few months, before they come out. Sometimes a one off set of grommets helps sort things out, however with on-going issues you cannot keep getting grommets (they scar the ear-drums, so more than 4 sets of grommets is not recommended for anyone). Hearing aids are sometimes used instead of grommets, but for this the audiology dept would definitely need more information regarding the hearing (bone conduction testing - the behind the ear one).
The best advice while waiting is to make sure that where possible you make sure you get your child's attention focused on your face before speaking to them, and talking in a nice clear loud (not shouting) voice, so that they can lip-read at the same time as listen, use gestures with your speaking for language too. Plenty of time talking to them about everything, to encourage language development. If it is just glue ear, the speech and language will very quickly catch up when it is resolved.
At 10 months old, I don't think rushing to get grommets is the most helpful. Pushing to get a full hearing assessment is more important (be that at the same time as grommets or not).