Negotiating Salary KPMG

I’ve been interviewing with KPMG Advisory for the past month for a Sr Specialist role. I have a very niche background for a certain area of financial data which aligns to a new product in Advisory. When they were about to make an offer, HR asked me my salary expectations. I told them my initial ask, which they asked if it was the minimum and I said yes. HR extended me an offer last Wednesday for the minimum but my competing offer was $10k more. I went back to HR Thursday asking if they could have flexibility on the salary. HR raised it with the hiring team, but the rep told me he was surprised that I was asking for me because they gave me what I originally asked for. For those at KPMG, did you negotiate your salary and if so, how long did it take for them to come back after your counter offer? This is my first time having the courage to negotiate salary and I am worried they will pull the offer. #consulting #salarynegotiation