It's VERY common for breastfed babies to not like formula. All but 1 of my children never drank more than a few swallows of it because they just couldn't stand the taste. And we tried everyone out there! We finally learned with the last and gave her formula at a week old. Never hurt breastfeeding at all.... 14 months and still going strong.
Nursing 3 times a day is probably fine for your little girl. Remember that by this age babies are very efficient nursers and get more milk in much less time than they did a few months earlier. She's also probably getting plenty of nutrients she needs from food since most 9 month olds are eating 3 meals a day at the table with a few snacks. If you want her to nurse more, simply cut back on the amount of real food you give her. Or nurse her just before you sit down to eat when she's the hungriest.
It's also a "phase". All my kids cut way down on nursing between 9 and 11 months. But then it picked back up again and they all continued to nurse until at least 16 months. At around 9 months, they get distracted alot... by other kids, the TV, the radio, a book you're trying to hold and read at the same time, etc. Try going into a quiet room with few distractions. Keep nursing! Too many moms take this a sign that baby is ready to wean themselves but it's not! Like everything else remember that it's just a phase and it'll pass.