Gilly---Why don't you take the screen off,take some "long-handeled lopers(sp?)"& lop off the offending branchs?If you don't
have,the proper tool,you can,probably,rent them.They are also
available,at Sears,Home Depot,etc.They are not expensive,& come
in handy,especially if your yard is large!I bought some years ago,
that have an adjustable "anvil",so as the blades wear,you can adjust them. Irish
P.S.A few yrs ago,I bought a large variety of yard tools.In the long run,it's much less expensive,then hiring a "specialist".Plus
you don't have to wait.

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Irish---Better to be dead & cool,then alive & uncool!
(Harley Davidson & the Marlboro Man)