Here's my 2 cents on "tummy time". It's a fairly recent notion that infants must spend prescribed amounts of time each day on their stomachs.....
Like your daughter, my son did not care for tummy time, and I never pushed it. Sometimes he would tolerate it for a few minutes, but if he started screaming, I turned him on his side or back. What worked for us was to prop him up on a Boppy pillow with a mirror facing him.
If your daughter can stand and likes doing so, she may very well skip, or at least "skim", the whole crawling business. My husband never crawled, according to his mother.
All that being said, if your mommy instincts tell you something is wrong, consider chiropractic care. When my son was 9 months old, he still could not sit unsupported. His Pediatriac Nurse Practitioner freaked out; she had another nurse look at him, and they both wanted him to see a Neurologist. We ended up just taking him to a chiropractor for a few adjustments. His left hip was a little out of whack. He went from not being able to sit on his own to crawling to standing in only 6 weeks!
Good luck to you!