Chances are you will have to push when advocating - the important thing to realize is that as long as you stick to being polite about it, advocate with data to support what you are requesting, keep the emotions out of your requests, and put everything in writing - you aren't being a "pain" - you are being an advocate. Sometimes advocates have to "push" and that's ok. To be honest, teachers will probably expect you to push.
Advocating for differentiation and acceleration in early elementary can often require what feels like pushing simply because there are a lot of parents who advocate for "more" in the first few years of school. Not just parents of kids who are going to ultimately test gifted, but a lot of parents in general. What I noticed in our local school district was that a large majority of the parents who were most vocal about their children needing differentiation and challenge in K-1 dropped out of sight once the gifted screens were given in 2nd grade, or once their children were tested early for the gifted program. So, at least here, I think teachers are used to a large number of parents who think their child will test gifted requesting (or demanding) that something more, when really their child isn't going to qualify. In your case, you have scores. You know your child. You've got the data. You're not just begging loudly for something your child might or might not qualify for - so stick with it and request the testing in writing.
OTOH, I'd also caution that, if you are near the end of the school year, the school staff might simply be booked up. That happens here - IEPs for the next school year have to be completed before the last day of school, and that ties up a lot of school staff in meetings, at a time of year when they are also trying to get final grades/etc wrapped up. A written request turned in now, in our school district, would probably be put off until next year, not because the parent was perceived as pushy but because there just isn't staff/time to get to it this school year. That's not necessarily a bad thing either - if you were to get the request in writing turned in now (here), even if it couldn't be completed before the end of the school year, you'd be in line to get it taken care of possibly before the actual start of school in the fall or within the first few weeks of school.
So hang in there! And make your request in writing
polarbear
ps - email is considered "writing".
