Turntable Needles shows this:
PICKERING CARTRIDGES MX/15-900E V-15/303E V-15/4A0E V-15/460E-IMP V-15/710E V15/710E V/645E V/691E VEV 2000 V/645E V/691E V/15-303E V/15-440E V/15-480E IMPROVED V/15-710E
• PICKERING NEEDLES D7E
LP Gear shows this:
https://www.lpgear.com/product/PICSD0007E.html
So, for about the same money you get a new stylus for your cart that is mounted already. Otherwise, you might want to take it off of the headshell and see to make sure, but I doubt the D7E from LP Gear will not fit.....
And yes, if you do remove it you will risk changing the proper alignment but on the other hand, you can mark on the headshell where the screws are presently and likely get it really close to where it was. All you are really talking about is the azimuth alignment and overhang, which if you mark where it is now in relation to the slots that the screws go through and return it to the same position you will be mighty close to where you started......not saying that it was properly aligned to begin with but it will be very close to the same as it was.
So, your choice. If you go with the Ortofon, you will have to start over with alignment anyhow as that cartridge has a very different geometry and will need to be set for proper overhang (and azimuth). That's OK though as we will help you understand things as you go amigo.....
Feline from down-under makes a good point.....without the ability to accurately assess the condition of that stylus on there now, you stand the very real chance of doing damage to your records. And, just from the pictures, it does look rather old and tired but that can be deceiving. Generally, without pretty technical equipment and knowledge, the health of a stylus is difficult to assess. So, why not just start fresh and for less than $200 you have a very serviceable turntable. If you stay with the present cartridge, or even with the Ortofon, you will be able to replace the stylus in the future as well. Try to keep track of the hours you put on the new one so you know when it's time to replace it. With the elipticals, I think the general consensus is to not use them for a lot more than about 600 hours and that may be stretching a bit.