I'm not certain what you mean by "power sucker", but I assume this is some form of solder removal tool which uses a vacuum in order to suck the molten solder away. This type of tool is primarily for through hole components.
For a surface mount comonent, like the one you've shown, the problem is that solder will be underneath the leg of the component and you're not going to suck that out with a vacuum tool. You're only going to manage to get the surface solder off, and then when you go to pull the component free it'll take the pad with it.
In future, it is best to remove this component using appropriate surface mount tools. A hot air tool would suffice, but take care to protect the surrounding area - you don't want to blow off components you didn't intend to touch, or melt any surrounding plastics. Also you need to be careful about how much heat is supplied (and how quickly).
I find it useful to reapply fresh solder to the joints before attempting removal.
Now, regarding your predicament, there are a few options you can consider.
The best option would be a professional pad repair. But for this you're going to need a suitable pad repair kit. It basically involves replacing the lifted pad with a fresh one using adhesive. You can buy kits with pre-made pads for common footprints, or you can construct your own pad out of copper foil.
Of course, I
never damage pads myself
but when I encounter damaged pads (such as corroded pads) I always construct my own replacements with copper foil.
Once the pad is replaced you obviously need to connect it back to the severed trace. You will need to expose the copper on the end of the trace and apply some solder to join the new pad to the trace.
An alternative option, not recommended (because it isn't clean), is to simply run a small wire from the leg of the new component to a suitable connection point on the PCB. That suitable connection point might be the end of the severed trace, provided you can anchor to it properly and secure it safely from being ripped up afterward.
There is a lot to consider here to be honest, much of which cannot be easily communicated with basic advice. You may be better off enlisting the help of an experienced electronics tech to do the job properly for you.